Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382p |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19077120 |
Modular degree for the optimal curve |
Δ |
-7.1180424709427E+24 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28980240,-113448656450] |
[a1,a2,a3,a4,a6] |
j |
22879231194490519393943/60502362714028376064 |
j-invariant |
L |
0.92153701296868 |
L(r)(E,1)/r! |
Ω |
0.038397374772968 |
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 |
10626c1 |
Quadratic twists by: -7 |