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	11830i	Isogeny class
Conductor	11830	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	73089472601600 = 29 · 52 · 7 · 138	Discriminant
Eigenvalues	2+ -2 5- 7+  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3230608,2234714718]	[a1,a2,a3,a4,a6]
j	772531501373731009/15142400	j-invariant
L	0.88377433885737	L(r)(E,1)/r!
Ω	0.44188716942869	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94640dd2 106470dw2 59150bx2 82810l2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830i2

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

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Quadratic twists for elliptic curve 11830i2

-4	-3	5	-7	13
94640dd2	106470dw2	59150bx2	82810l2	910j2

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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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