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	11830m	Isogeny class
Conductor	11830	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2.3848531273125E+23	Discriminant
Eigenvalues	2+  0 5- 7-  6 13+ -8  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,6385211,22658540373]	[a1,a2,a3,a4,a6]
Generators	[-411710495213819:-41646631969424528:356853433357]	Generators of the group modulo torsion
j	5964709808210123151/49408483478681600	j-invariant
L	3.7793399689826	L(r)(E,1)/r!
Ω	0.072329567017938	Real period
R	26.1258301743	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	94640ck2 106470ez2 59150bf2 82810f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830m2

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	-	-	6	+	-8	0	0	6	2	-10	8	-6	-8	-12	8	6	-8	-4	-2	-8	12	0	18

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Quadratic twists for elliptic curve 11830m2

-4	-3	5	-7	13
94640ck2	106470ez2	59150bf2	82810f2	910f2

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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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