Atkin-Lehner |
2+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650k |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
498827689984000 = 218 · 53 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1584877,-767568219] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:383:1] [1483:11173:1] |
Generators of the group modulo torsion |
j |
3522090751364680709661/3990621519872 |
j-invariant |
L |
5.8223193587682 |
L(r)(E,1)/r! |
Ω |
0.1345552602701 |
Real period |
R |
8.6541683276912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26650q1 |
Quadratic twists by: 5 |