Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Class	13650bv	Isogeny class
Conductor	13650	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	821682225000000 = 26 · 34 · 58 · 74 · 132	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-23463,-117219]	[a1,a2,a3,a4,a6]
Generators	[-95:1172:1]	Generators of the group modulo torsion
j	91422999252649/52587662400	j-invariant
L	5.8267853413075	L(r)(E,1)/r!
Ω	0.41954488935522	Real period
R	1.1573623167123	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	109200gi2 40950bb2 2730m2 95550je2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650bv2

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
-	+	+	+	0	-	-2	-8	4	6	-8	6	2	12	0	-10	-8	-2	4	8	-6	0	4	-6	-6

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Quadratic twists for elliptic curve 13650bv2

-4	-3	5	-7
109200gi2	40950bb2	2730m2	95550je2

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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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