Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350cb |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8864640 |
Modular degree for the optimal curve |
Δ |
7.4303088304375E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40278763,98374912281] |
[a1,a2,a3,a4,a6] |
j |
43573579225/448 |
j-invariant |
L |
3.1577223071601 |
L(r)(E,1)/r! |
Ω |
0.17542904900809 |
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 |
126350bo1 126350m1 |
Quadratic twists by: 5 -19 |