Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bi |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-5117580000000000 = -1 · 211 · 39 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,-5206250] |
[a1,a2,a3,a4,a6] |
Generators |
[155602:21699549:8] |
Generators of the group modulo torsion |
j |
-781250/351 |
j-invariant |
L |
5.935949465466 |
L(r)(E,1)/r! |
Ω |
0.15878176575278 |
Real period |
R |
9.3460817703526 |
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 |
46800q1 7800f1 23400u1 |
Quadratic twists by: -4 -3 5 |