Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bi |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
349872250000 = 24 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1808,8737] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:169:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
3.3674645964687 |
L(r)(E,1)/r! |
Ω |
0.83854408467352 |
Real period |
R |
1.0039616883305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000167827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096e1 127400bb1 |
Quadratic twists by: 5 -7 |