Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cz |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
1248256 |
Modular degree for the optimal curve |
Δ |
603094760183513088 = 214 · 323 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 1 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-438181,105058307] |
[a1,a2,a3,a4,a6] |
j |
567891528853175296/36809982921357 |
j-invariant |
L |
6.5430039313744 |
L(r)(E,1)/r! |
Ω |
0.28447843224589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072g1 18768a1 |
Quadratic twists by: -4 8 |