Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26288f |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-13038848 = -1 · 28 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 4 2 -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388,-3080] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:18098:27] |
Generators of the group modulo torsion |
j |
-25298674000/50933 |
j-invariant |
L |
7.1995052614477 |
L(r)(E,1)/r! |
Ω |
0.53767023757458 |
Real period |
R |
6.6950937194557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572a1 105152v1 |
Quadratic twists by: -4 8 |