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	10010q	Isogeny class
Conductor	10010	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	6289889684828750 = 2 · 54 · 75 · 116 · 132	Discriminant
Eigenvalues	2-  0 5+ 7+ 11- 13-  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-170263,26813281]	[a1,a2,a3,a4,a6]
j	545861123494712462529/6289889684828750	j-invariant
L	2.5519311553374	L(r)(E,1)/r!
Ω	0.4253218592229	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	80080ba2 90090bm2 50050r2 70070ch2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010q2

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	+	+	-	-	4	0	0	0	-8	4	10	0	-4	-6	-2	-6	-4	-2	14	10	-12	12	0

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Quadratic twists for elliptic curve 10010q2

-4	-3	5	-7	-11
80080ba2	90090bm2	50050r2	70070ch2	110110n2

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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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