Cremona's table of elliptic curves

11858 = 2 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	11858u	Isogeny class
Conductor	11858	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	7638971032 = 23 · 72 · 117	Discriminant
Eigenvalues	2+ -3 -2 7- 11- -7  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-688,5704]	[a1,a2,a3,a4,a6]
Generators	[3:59:1]	Generators of the group modulo torsion
j	415233/88	j-invariant
L	1.189717039424	L(r)(E,1)/r!
Ω	1.2459526275283	Real period
R	0.23871634706212	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94864dh1 106722hd1 11858f1 1078k1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858u1

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
+	-3	-2	-	-	-7	2	0	-8	5	-4	4	4	8	-2	-6	-3	1	9	-2	4	-9	6	-6	-7

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Quadratic twists for elliptic curve 11858u1

-4	-3	-7	-11
94864dh1	106722hd1	11858f1	1078k1

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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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