Cremona's table of elliptic curves

11830 = 2 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	11830y	Isogeny class
Conductor	11830	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-2366000 = -1 · 24 · 53 · 7 · 132	Discriminant
Eigenvalues	2- -3 5- 7+ -4 13+  5 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,33,-9]	[a1,a2,a3,a4,a6]
Generators	[1:4:1]	Generators of the group modulo torsion
j	24191271/14000	j-invariant
L	4.0961381845869	L(r)(E,1)/r!
Ω	1.5423747650705	Real period
R	0.2213112250316	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	94640df1 106470bg1 59150q1 82810cd1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830y1

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	-	+	-4	+	5	-2	-4	-5	2	8	0	6	-11	8	0	10	-8	-9	-7	13	-1	-8	7

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Quadratic twists for elliptic curve 11830y1

-4	-3	5	-7	13
94640df1	106470bg1	59150q1	82810cd1	11830e1

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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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