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	36	Product of Tamagawa factors cp
Δ	-792884363063333400 = -1 · 23 · 33 · 52 · 598	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-223645,-59116663]	[a1,a2,a3,a4,a6]
j	-1237090332317658745681/792884363063333400	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14160r6 56640c5 5310d6 8850a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1770h6

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 1770h6

-4	8	-3	5	-7	-59
14160r6	56640c5	5310d6	8850a6	86730cb5	104430n5

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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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