Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bz |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
19125000000 = 26 · 32 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2958,60588] |
[a1,a2,a3,a4,a6] |
Generators |
[29:6:1] |
Generators of the group modulo torsion |
j |
22906304/153 |
j-invariant |
L |
7.2453252488602 |
L(r)(E,1)/r! |
Ω |
1.227718889832 |
Real period |
R |
2.9507264687649 |
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 |
40800o1 81600bw2 122400bp1 40800n1 |
Quadratic twists by: -4 8 -3 5 |