Cremona's table of elliptic curves

17472 = 2⁶ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	17472da	Isogeny class
Conductor	17472	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-759742372718784 = -1 · 26 · 38 · 77 · 133	Discriminant
Eigenvalues	2- 3- -1 7- -2 13-  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,10159,1269621]	[a1,a2,a3,a4,a6]
Generators	[148:2457:1]	Generators of the group modulo torsion
j	1811564780171264/11870974573731	j-invariant
L	5.7523624600057	L(r)(E,1)/r!
Ω	0.36666885105674	Real period
R	0.093381951151425	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17472c1 4368q1 52416gj1 122304ey1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17472da1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-1	-	-2	-	0	1	-3	5	-9	0	2	-1	-3	9	0	2	10	12	15	-11	3	-17	3

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Quadratic twists for elliptic curve 17472da1

-4	8	-3	-7
17472c1	4368q1	52416gj1	122304ey1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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