Cremona's table of elliptic curves

10640 = 2⁴ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	10640bd	Isogeny class
Conductor	10640	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	3234560 = 28 · 5 · 7 · 192	Discriminant
Eigenvalues	2-  2 5- 7-  0 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-180,-868]	[a1,a2,a3,a4,a6]
Generators	[615834:6244363:5832]	Generators of the group modulo torsion
j	2533446736/12635	j-invariant
L	6.8471508685338	L(r)(E,1)/r!
Ω	1.3031995493264	Real period
R	10.508215525509	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2660f2 42560cl2 95760dq2 53200by2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10640bd2

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
-	2	-	-	0	-2	2	-	-8	-6	-4	-8	-8	-4	4	0	8	-2	0	2	6	-14	-16	-8	-14

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Quadratic twists for elliptic curve 10640bd2

-4	8	-3	5	-7
2660f2	42560cl2	95760dq2	53200by2	74480bj2

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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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