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	11830j	Isogeny class
Conductor	11830	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	29952	Modular degree for the optimal curve
Δ	10392409385540 = 22 · 5 · 72 · 139	Discriminant
Eigenvalues	2+  0 5- 7+ -2 13-  6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-9749,-334047]	[a1,a2,a3,a4,a6]
Generators	[-67:156:1]	Generators of the group modulo torsion
j	9663597/980	j-invariant
L	3.1875178430655	L(r)(E,1)/r!
Ω	0.48360206445348	Real period
R	3.295599912986	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	94640dh1 106470ek1 59150ca1 82810t1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830j1

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

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Quadratic twists for elliptic curve 11830j1

-4	-3	5	-7	13
94640dh1	106470ek1	59150ca1	82810t1	11830r1

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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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