Cremona's table of elliptic curves

26040 = 2³ · 3 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 31-	Signs for the Atkin-Lehner involutions
Class	26040u	Isogeny class
Conductor	26040	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	528384	Modular degree for the optimal curve
Δ	6770249055206658000 = 24 · 34 · 53 · 72 · 318	Discriminant
Eigenvalues	2- 3- 5- 7-  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-473215,5052938]	[a1,a2,a3,a4,a6]
j	732453661952460322816/423140565950416125	j-invariant
L	4.8255635264747	L(r)(E,1)/r!
Ω	0.20106514693644	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	52080g1 78120g1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 26040u1

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

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Quadratic twists for elliptic curve 26040u1

-4	-3
52080g1	78120g1

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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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