Atkin-Lehner |
2+ 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bb |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
14008320 |
Modular degree for the optimal curve |
Δ |
-7.393511183745E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17548776,-30184214720] |
[a1,a2,a3,a4,a6] |
j |
819854267046099435626111/1014199064985600000000 |
j-invariant |
L |
1.5436551930451 |
L(r)(E,1)/r! |
Ω |
0.048239225410212 |
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 |
32370u1 |
Quadratic twists by: -3 |