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	144	Product of Tamagawa factors cp
Δ	293709375000 = 23 · 33 · 58 · 592	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4010125,-3091234375]	[a1,a2,a3,a4,a6]
j	7131771986839837165458001/293709375000	j-invariant
L	3.8407193841856	L(r)(E,1)/r!
Ω	0.10668664956071	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	14160r5 56640c6 5310d5 8850a5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1770h5

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 1770h5

-4	8	-3	5	-7	-59
14160r5	56640c6	5310d5	8850a5	86730cb6	104430n6

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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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