Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504be |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2261495808 = -1 · 212 · 33 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173,16029] |
[a1,a2,a3,a4,a6] |
Generators |
[20:13:1] |
Generators of the group modulo torsion |
j |
-360448000/4563 |
j-invariant |
L |
4.0011478729589 |
L(r)(E,1)/r! |
Ω |
1.4641819856633 |
Real period |
R |
1.3663424052932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719i1 75504bs1 |
Quadratic twists by: -4 -11 |