Atkin-Lehner |
2+ 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350q |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
13920000 |
Modular degree for the optimal curve |
Δ |
-3.2279935460463E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85847575,-306191150375] |
[a1,a2,a3,a4,a6] |
j |
-35824305228431721256709/165273269557572 |
j-invariant |
L |
0.99196747877125 |
L(r)(E,1)/r! |
Ω |
0.024799186243006 |
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 |
97350da1 |
Quadratic twists by: 5 |