Cremona's table of elliptic curves

10440 = 2³ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	10440p	Isogeny class
Conductor	10440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-23759209681920 = -1 · 210 · 38 · 5 · 294	Discriminant
Eigenvalues	2- 3- 5+  0  0 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,6117,145222]	[a1,a2,a3,a4,a6]
Generators	[-13:252:1]	Generators of the group modulo torsion
j	33908741276/31827645	j-invariant
L	4.1560926361185	L(r)(E,1)/r!
Ω	0.44179426383054	Real period
R	2.3518258250365	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20880g4 83520cq3 3480k4 52200f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10440p4

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	0	-2	2	0	0	+	4	10	-10	4	-8	-6	-12	-10	4	0	14	4	12	6	-2

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Quadratic twists for elliptic curve 10440p4

-4	8	-3	5
20880g4	83520cq3	3480k4	52200f3

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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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