Cremona's table of elliptic curves

4114 = 2 · 11² · 17

Field	Data	Notes
Atkin-Lehner	2- 11- 17-	Signs for the Atkin-Lehner involutions
Class	4114c	Isogeny class
Conductor	4114	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-239869302710048 = -1 · 25 · 1110 · 172	Discriminant
Eigenvalues	2-  0  0  2 11-  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,15465,81359]	[a1,a2,a3,a4,a6]
j	230910510375/135399968	j-invariant
L	3.3724196388652	L(r)(E,1)/r!
Ω	0.33724196388652	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	32912x2 37026f2 102850d2 374a2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4114c2

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

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Quadratic twists for elliptic curve 4114c2

-4	-3	5	-11	17
32912x2	37026f2	102850d2	374a2	69938l2

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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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