Atkin-Lehner |
2- 3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696l |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-45897616797696 = -1 · 212 · 39 · 193 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 6 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1371,-324909] |
[a1,a2,a3,a4,a6] |
j |
69527932928/11205472851 |
j-invariant |
L |
2.7131012822144 |
L(r)(E,1)/r! |
Ω |
0.30145569794757 |
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 |
4731a1 |
Quadratic twists by: -4 |