Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26656d |
Isogeny class |
Conductor |
26656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
128002112 = 26 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245,-1372] |
[a1,a2,a3,a4,a6] |
Generators |
[43:260:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
4.3694651272558 |
L(r)(E,1)/r! |
Ω |
1.2127448679513 |
Real period |
R |
3.6029549518005 |
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 |
26656g1 53312q1 544a1 |
Quadratic twists by: -4 8 -7 |