Cremona's table of elliptic curves

10934 = 2 · 7 · 11 · 71

Field	Data	Notes
Atkin-Lehner	2+ 7- 11+ 71-	Signs for the Atkin-Lehner involutions
Class	10934c	Isogeny class
Conductor	10934	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	4821307412768 = 25 · 72 · 112 · 714	Discriminant
Eigenvalues	2+  2  0 7- 11+  4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-19915,-1084899]	[a1,a2,a3,a4,a6]
Generators	[12948:108333:64]	Generators of the group modulo torsion
j	873572025235533625/4821307412768	j-invariant
L	4.9095808538676	L(r)(E,1)/r!
Ω	0.40201842405339	Real period
R	3.0530819983114	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	87472c2 98406m2 76538p2 120274l2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10934c2

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

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Quadratic twists for elliptic curve 10934c2

-4	-3	-7	-11
87472c2	98406m2	76538p2	120274l2

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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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