Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050y |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-6.5263499194726E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-259454615,-1613368071795] |
[a1,a2,a3,a4,a6] |
Generators |
[3399583591385788105:-3143820153026225455817:3978109476125] |
Generators of the group modulo torsion |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
3.4672673232863 |
L(r)(E,1)/r! |
Ω |
0.018804697555061 |
Real period |
R |
23.047880144935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ip1 11550bj1 |
Quadratic twists by: 5 -11 |