Cremona's table of elliptic curves

4420 = 2² · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 13- 17+	Signs for the Atkin-Lehner involutions
Class	4420a	Isogeny class
Conductor	4420	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-8927665926400 = -1 · 28 · 52 · 136 · 172	Discriminant
Eigenvalues	2- -2 5+ -4  0 13- 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12316,541284]	[a1,a2,a3,a4,a6]
Generators	[-116:650:1]	Generators of the group modulo torsion
j	-807101305253584/34873695025	j-invariant
L	1.9669407119631	L(r)(E,1)/r!
Ω	0.72526492654876	Real period
R	1.356015326236	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	17680i2 70720m2 39780bb2 22100e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4420a2

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	+	-4	0	-	+	2	6	-6	-4	2	-6	8	6	6	6	2	2	12	2	-10	6	-6	2

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Quadratic twists for elliptic curve 4420a2

-4	8	-3	5	13	17
17680i2	70720m2	39780bb2	22100e2	57460c2	75140h2

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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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