Cremona's table of elliptic curves

1830 = 2 · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 61+	Signs for the Atkin-Lehner involutions
Class	1830d	Isogeny class
Conductor	1830	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	116704443600 = 24 · 314 · 52 · 61	Discriminant
Eigenvalues	2+ 3- 5- -2  2 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4978,133748]	[a1,a2,a3,a4,a6]
Generators	[-23:497:1]	Generators of the group modulo torsion
j	13638385797303961/116704443600	j-invariant
L	2.6128649300251	L(r)(E,1)/r!
Ω	1.0555450793947	Real period
R	0.17681216362122	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	14640y2 58560k2 5490r2 9150p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830d2

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	2	-2	-6	-4	-8	0	4	-8	-2	-6	8	6	-6	+	-2	6	-2	-8	-4	0	-6

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Quadratic twists for elliptic curve 1830d2

-4	8	-3	5	-7	61
14640y2	58560k2	5490r2	9150p2	89670h2	111630ba2

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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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