Cremona's table of elliptic curves

1380 = 2² · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 23+	Signs for the Atkin-Lehner involutions
Class	1380b	Isogeny class
Conductor	1380	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	43680	Modular degree for the optimal curve
Δ	-3.43775896875E+19	Discriminant
Eigenvalues	2- 3+ 5+ -5  0  4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,766939,112645761]	[a1,a2,a3,a4,a6]
j	194879272239195815936/134287459716796875	j-invariant
L	0.78339924572742	L(r)(E,1)/r!
Ω	0.13056654095457	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5520bd1 22080bm1 4140k1 6900g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1380b1

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
-	+	+	-5	0	4	-3	-4	+	1	1	-1	11	4	6	1	-1	6	-9	13	0	16	9	8	2

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Quadratic twists for elliptic curve 1380b1

-4	8	-3	5	-7	-23
5520bd1	22080bm1	4140k1	6900g1	67620bi1	31740d1

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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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