Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640j |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
34525440 = 28 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,4862] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:72:1] |
Generators of the group modulo torsion |
j |
94875856/185 |
j-invariant |
L |
3.7988728043713 |
L(r)(E,1)/r! |
Ω |
2.069537010675 |
Real period |
R |
1.8356148185687 |
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 |
13320n1 106560ft1 2960c1 |
Quadratic twists by: -4 8 -3 |