Cremona's table of elliptic curves

10626 = 2 · 3 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11- 23+	Signs for the Atkin-Lehner involutions
Class	10626g	Isogeny class
Conductor	10626	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	6611719873695552 = 26 · 38 · 76 · 11 · 233	Discriminant
Eigenvalues	2+ 3-  0 7- 11- -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-45682451,-118846422610]	[a1,a2,a3,a4,a6]
j	10543186518294206197228515625/6611719873695552	j-invariant
L	1.3937133122288	L(r)(E,1)/r!
Ω	0.058071388009533	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	85008be4 31878bl4 74382f4 116886bl4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626g4

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	-6	-4	+	-6	8	2	12	-4	0	6	0	-10	8	0	-4	-16	0	0	8

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Quadratic twists for elliptic curve 10626g4

-4	-3	-7	-11
85008be4	31878bl4	74382f4	116886bl4

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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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