Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38480p |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
1.5287506593382E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 6 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1630096,778120980] |
[a1,a2,a3,a4,a6] |
Generators |
[21209062:-1513422848:79507] |
Generators of the group modulo torsion |
j |
116950902015977207569/3732301414400000 |
j-invariant |
L |
3.759646439548 |
L(r)(E,1)/r! |
Ω |
0.22006032153807 |
Real period |
R |
8.5423087934946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810g1 |
Quadratic twists by: -4 |