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	11830l	Isogeny class
Conductor	11830	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	579458420450 = 2 · 52 · 74 · 136	Discriminant
Eigenvalues	2+  0 5- 7- -4 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-45239,-3692077]	[a1,a2,a3,a4,a6]
Generators	[257:1139:1]	Generators of the group modulo torsion
j	2121328796049/120050	j-invariant
L	3.3643362478184	L(r)(E,1)/r!
Ω	0.32735752632051	Real period
R	2.5693133480338	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	94640cj4 106470ew4 59150bd4 82810e4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830l3

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	-	-	-4	+	2	0	0	6	-8	10	-2	4	-8	-2	8	-14	12	16	-2	-8	-8	-10	-2

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Quadratic twists for elliptic curve 11830l3

-4	-3	5	-7	13
94640cj4	106470ew4	59150bd4	82810e4	70a3

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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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