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	10010z	Isogeny class
Conductor	10010	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	828928100 = 22 · 52 · 73 · 11 · 133	Discriminant
Eigenvalues	2- -2 5- 7- 11- 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-172690,-27636000]	[a1,a2,a3,a4,a6]
j	569541582763202518561/828928100	j-invariant
L	2.1077798755456	L(r)(E,1)/r!
Ω	0.23419776394952	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	80080bl3 90090z3 50050i3 70070bp3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010z3

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

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Quadratic twists for elliptic curve 10010z3

-4	-3	5	-7	-11
80080bl3	90090z3	50050i3	70070bp3	110110x3

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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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