Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770x |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
8.8566799565675E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248938614,485139004020] |
[a1,a2,a3,a4,a6] |
j |
2340307834401386293150962529/1214908087320647991936000 |
j-invariant |
L |
2.3706521741229 |
L(r)(E,1)/r! |
Ω |
0.043900966194055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590u1 |
Quadratic twists by: -3 |