Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432cb |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10036224 |
Modular degree for the optimal curve |
Δ |
-8.4345429185634E+22 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 1 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3864320,-13664927744] |
[a1,a2,a3,a4,a6] |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
0.6348909993366 |
L(r)(E,1)/r! |
Ω |
0.052907549224382 |
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 |
12054bp1 13776v1 |
Quadratic twists by: -4 -7 |