Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025ci |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4717440 |
Modular degree for the optimal curve |
Δ |
4.5722047862E+21 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62665992,190927543041] |
[a1,a2,a3,a4,a6] |
Generators |
[200334:30178119:8] |
Generators of the group modulo torsion |
j |
117161545345/19683 |
j-invariant |
L |
4.2020919376156 |
L(r)(E,1)/r! |
Ω |
0.13321955042476 |
Real period |
R |
7.8856517759875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675bj1 38025bl1 38025cm1 |
Quadratic twists by: -3 5 13 |