Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264i |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2119694268496 = 24 · 711 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 0 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3691,-49216] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2401:1] |
Generators of the group modulo torsion |
j |
2955053056/1126069 |
j-invariant |
L |
3.3540015290054 |
L(r)(E,1)/r! |
Ω |
0.63246966074026 |
Real period |
R |
0.66287794838249 |
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 |
52528d1 3752f1 |
Quadratic twists by: -4 -7 |