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	11830f	Isogeny class
Conductor	11830	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-54558076664000 = -1 · 26 · 53 · 79 · 132	Discriminant
Eigenvalues	2+  1 5- 7+  0 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3748,-366494]	[a1,a2,a3,a4,a6]
j	-34440478374289/322828856000	j-invariant
L	1.5988014508931	L(r)(E,1)/r!
Ω	0.26646690848218	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94640cv2 106470dz2 59150bu2 82810i2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830f2

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
+	1	-	+	0	+	-3	4	6	-3	4	-2	-12	2	3	0	6	-10	-2	9	13	11	15	12	-17

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Quadratic twists for elliptic curve 11830f2

-4	-3	5	-7	13
94640cv2	106470dz2	59150bu2	82810i2	11830q2

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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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