Atkin-Lehner |
2- 3- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
29256g |
Isogeny class |
Conductor |
29256 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-18427067136 = -1 · 28 · 310 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -2 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,260,6416] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] |
Generators of the group modulo torsion |
j |
7563666224/71980731 |
j-invariant |
L |
6.7976302182614 |
L(r)(E,1)/r! |
Ω |
0.89886824017351 |
Real period |
R |
0.18906080764821 |
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 |
58512a1 87768b1 |
Quadratic twists by: -4 -3 |