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	11858h	Isogeny class
Conductor	11858	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-2187488328256 = -1 · 26 · 710 · 112	Discriminant
Eigenvalues	2+  0  1 7- 11- -1 -1  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2459,85861]	[a1,a2,a3,a4,a6]
Generators	[30:181:1]	Generators of the group modulo torsion
j	-115538049/153664	j-invariant
L	3.371487308634	L(r)(E,1)/r!
Ω	0.74217613544035	Real period
R	1.1356762726659	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	94864by1 106722go1 1694c1 11858bc1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858h1

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	1	-	-	-1	-1	0	4	5	8	-5	-5	-4	4	-9	12	-2	0	4	10	-12	-12	-15	17

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Quadratic twists for elliptic curve 11858h1

-4	-3	-7	-11
94864by1	106722go1	1694c1	11858bc1

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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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