Cremona's table of elliptic curves

1770 = 2 · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 59+	Signs for the Atkin-Lehner involutions
Class	1770h	Isogeny class
Conductor	1770	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	353342246760000 = 26 · 36 · 54 · 594	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-250645,-48311263]	[a1,a2,a3,a4,a6]
j	1741409690685460393681/353342246760000	j-invariant
L	3.8407193841856	L(r)(E,1)/r!
Ω	0.21337329912142	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14160r4 56640c4 5310d4 8850a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1770h3

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	-6	4	8	-2	0	6	-6	4	0	6	+	-10	12	-16	-6	0	4	2	-14

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Quadratic twists for elliptic curve 1770h3

-4	8	-3	5	-7	-59
14160r4	56640c4	5310d4	8850a3	86730cb4	104430n4

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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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