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	1830c	Isogeny class
Conductor	1830	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-130741056000 = -1 · 29 · 32 · 53 · 613	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -7  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-69,17392]	[a1,a2,a3,a4,a6]
Generators	[-22:102:1]	Generators of the group modulo torsion
j	-35578826569/130741056000	j-invariant
L	2.5350409281782	L(r)(E,1)/r!
Ω	0.83502702284862	Real period
R	0.50597981837963	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14640u2 58560o2 5490w2 9150t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830c2

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	-7	3	-7	0	-3	-7	-10	3	-1	3	0	12	-	5	-12	2	-13	0	-6	14

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Quadratic twists for elliptic curve 1830c2

-4	8	-3	5	-7	61
14640u2	58560o2	5490w2	9150t2	89670m2	111630w2

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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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