Cremona's table of elliptic curves

15470 = 2 · 5 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 13- 17-	Signs for the Atkin-Lehner involutions
Class	15470m	Isogeny class
Conductor	15470	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	28800	Modular degree for the optimal curve
Δ	-5107655025200 = -1 · 24 · 52 · 7 · 135 · 173	Discriminant
Eigenvalues	2- -1 5+ 7-  1 13- 17-  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-676,-109227]	[a1,a2,a3,a4,a6]
Generators	[591:14069:1]	Generators of the group modulo torsion
j	-34166772214849/5107655025200	j-invariant
L	5.8166933140551	L(r)(E,1)/r!
Ω	0.34083482908229	Real period
R	0.14221681632217	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	123760v1 77350b1 108290bh1	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 15470m1

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	+	-	1	-	-	1	-4	-8	6	-1	-12	5	3	-5	12	-6	10	0	-14	-8	3	9	-12

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Quadratic twists for elliptic curve 15470m1

-4	5	-7
123760v1	77350b1	108290bh1

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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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