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	1830f	Isogeny class
Conductor	1830	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	21445312500 = 22 · 32 · 510 · 61	Discriminant
Eigenvalues	2- 3+ 5+  2  2 -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1106,11819]	[a1,a2,a3,a4,a6]
j	149628263143969/21445312500	j-invariant
L	2.3231309497664	L(r)(E,1)/r!
Ω	1.1615654748832	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14640bc2 58560bs2 5490j2 9150i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830f2

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	-6	6	4	-8	8	4	4	6	2	0	-6	-6	+	14	10	6	0	12	12	-6

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Quadratic twists for elliptic curve 1830f2

-4	8	-3	5	-7	61
14640bc2	58560bs2	5490j2	9150i2	89670cm2	111630a2

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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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