Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350h |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26265600 |
Modular degree for the optimal curve |
Δ |
7.2282044302496E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63513626,145684403148] |
[a1,a2,a3,a4,a6] |
Generators |
[1925484035079:378154191976787:47832147] |
Generators of the group modulo torsion |
j |
5619814620139/1433600000 |
j-invariant |
L |
2.5188969775958 |
L(r)(E,1)/r! |
Ω |
0.069741112804288 |
Real period |
R |
18.058910411744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998463609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25270y1 126350ce1 |
Quadratic twists by: 5 -19 |