Cremona's table of elliptic curves

26544 = 2⁴ · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 79+	Signs for the Atkin-Lehner involutions
Class	26544m	Isogeny class
Conductor	26544	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	811680694272 = 215 · 34 · 72 · 792	Discriminant
Eigenvalues	2- 3+ -4 7-  0  4 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-55480,5048176]	[a1,a2,a3,a4,a6]
Generators	[58:1422:1]	Generators of the group modulo torsion
j	4610849525304121/198164232	j-invariant
L	2.9945932705874	L(r)(E,1)/r!
Ω	0.83980252775353	Real period
R	0.89145756639894	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	3318d2 106176cf2 79632bf2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26544m2

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	-	0	4	-6	-6	0	0	4	4	-10	6	-8	4	-12	2	16	16	2	+	-18	18	-18

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Quadratic twists for elliptic curve 26544m2

-4	8	-3
3318d2	106176cf2	79632bf2

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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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