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	28	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-10416418560 = -1 · 28 · 37 · 5 · 612	Discriminant
Eigenvalues	2+ 3- 5- -2  2 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-98,4916]	[a1,a2,a3,a4,a6]
Generators	[-3:73:1]	Generators of the group modulo torsion
j	-102568953241/10416418560	j-invariant
L	2.6128649300251	L(r)(E,1)/r!
Ω	1.0555450793947	Real period
R	0.35362432724244	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	14640y1 58560k1 5490r1 9150p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830d1

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 1830d1

-4	8	-3	5	-7	61
14640y1	58560k1	5490r1	9150p1	89670h1	111630ba1

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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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