Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950ch |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-19816503437500 = -1 · 22 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313,238531] |
[a1,a2,a3,a4,a6] |
Generators |
[3380:24003:64] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
11.67182892037 |
L(r)(E,1)/r! |
Ω |
0.60759828683211 |
Real period |
R |
2.4012223975367 |
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 |
5390q1 3850p1 |
Quadratic twists by: 5 -7 |