Cremona's table of elliptic curves

8840 = 2³ · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13- 17+	Signs for the Atkin-Lehner involutions
Class	8840a	Isogeny class
Conductor	8840	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	4808960000 = 211 · 54 · 13 · 172	Discriminant
Eigenvalues	2+  2 5+  2  4 13- 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-696,-6004]	[a1,a2,a3,a4,a6]
j	18232461938/2348125	j-invariant
L	3.7490746914933	L(r)(E,1)/r!
Ω	0.93726867287332	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	17680b2 70720o2 79560bu2 44200m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8840a2

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	+	2	4	-	+	4	0	4	6	2	-8	8	-8	6	12	4	4	-2	-16	-4	12	-10	-8

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Quadratic twists for elliptic curve 8840a2

-4	8	-3	5	13
17680b2	70720o2	79560bu2	44200m2	114920o2

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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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