Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600bz |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
228951562500000000 = 28 · 37 · 514 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202575,26487250] |
[a1,a2,a3,a4,a6] |
j |
315278049616/78515625 |
j-invariant |
L |
4.7109028436277 |
L(r)(E,1)/r! |
Ω |
0.29443145799601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200n1 24120i1 |
Quadratic twists by: -3 5 |