Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2610m |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
66361930490880 = 210 · 312 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25457,-1507039] |
[a1,a2,a3,a4,a6] |
j |
2502660030961609/91031454720 |
j-invariant |
L |
3.7880832197107 |
L(r)(E,1)/r! |
Ω |
0.37880832197107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880ck1 83520bm1 870b1 13050i1 |
Quadratic twists by: -4 8 -3 5 |