Cremona's table of elliptic curves

1420 = 2² · 5 · 71

Field	Data	Notes
Atkin-Lehner	2- 5- 71-	Signs for the Atkin-Lehner involutions
Class	1420b	Isogeny class
Conductor	1420	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-90880 = -1 · 28 · 5 · 71	Discriminant
Eigenvalues	2-  2 5-  3 -4 -1  2  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,17]	[a1,a2,a3,a4,a6]
j	-65536/355	j-invariant
L	2.9350798278558	L(r)(E,1)/r!
Ω	2.9350798278558	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	5680i1 22720i1 12780a1 7100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1420b1

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	-	3	-4	-1	2	1	8	9	10	0	6	-6	-1	-9	-6	-10	-4	-	4	-11	2	15	-17

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Quadratic twists for elliptic curve 1420b1

-4	8	-3	5	-7	-71
5680i1	22720i1	12780a1	7100b1	69580m1	100820b1

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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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