Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520q |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-178792323840 = -1 · 28 · 37 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1295,-10043] |
[a1,a2,a3,a4,a6] |
j |
937470577664/698407515 |
j-invariant |
L |
1.1349809927496 |
L(r)(E,1)/r! |
Ω |
0.56749049637498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53040y1 79560r1 |
Quadratic twists by: -4 -3 |