Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	10010x	Isogeny class
Conductor	10010	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	16933816900 = 22 · 52 · 72 · 112 · 134	Discriminant
Eigenvalues	2-  0 5- 7- 11+ 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-852,-7021]	[a1,a2,a3,a4,a6]
Generators	[137:1491:1]	Generators of the group modulo torsion
j	68322623117841/16933816900	j-invariant
L	7.0332955160629	L(r)(E,1)/r!
Ω	0.89978301305265	Real period
R	1.9541643413008	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	80080bq2 90090be2 50050a2 70070bc2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010x2

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

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Quadratic twists for elliptic curve 10010x2

-4	-3	5	-7	-11
80080bq2	90090be2	50050a2	70070bc2	110110w2

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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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