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	1830g	Isogeny class
Conductor	1830	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	127603270656000000 = 216 · 32 · 56 · 614	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-320455,-67808323]	[a1,a2,a3,a4,a6]
j	3639359463108865006321/127603270656000000	j-invariant
L	2.4130907055857	L(r)(E,1)/r!
Ω	0.20109089213214	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	14640bl2 58560z2 5490e2 9150j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830g2

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

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Quadratic twists for elliptic curve 1830g2

-4	8	-3	5	-7	61
14640bl2	58560z2	5490e2	9150j2	89670cd2	111630d2

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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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