Cremona's table of elliptic curves

14420 = 2² · 5 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 103-	Signs for the Atkin-Lehner involutions
Class	14420b	Isogeny class
Conductor	14420	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4176	Modular degree for the optimal curve
Δ	45221120 = 28 · 5 · 73 · 103	Discriminant
Eigenvalues	2-  0 5+ 7+  6 -5 -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-248,-1468]	[a1,a2,a3,a4,a6]
Generators	[-8:2:1]	Generators of the group modulo torsion
j	6589292544/176645	j-invariant
L	4.0436680060204	L(r)(E,1)/r!
Ω	1.2050285910666	Real period
R	1.1185538213223	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	57680l1 129780q1 72100c1 100940d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14420b1

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	+	+	6	-5	-3	0	4	5	-7	2	-2	9	-6	3	8	4	8	-10	4	-7	-9	9	2

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Quadratic twists for elliptic curve 14420b1

-4	-3	5	-7
57680l1	129780q1	72100c1	100940d1

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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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