Atkin-Lehner |
2- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57904r |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-87888080896 = -1 · 212 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7952,270676] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:-616:1] [52:22:1] |
Generators of the group modulo torsion |
j |
-13578365403793/21457051 |
j-invariant |
L |
5.8185868604209 |
L(r)(E,1)/r! |
Ω |
1.0748117762781 |
Real period |
R |
0.1503774115214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3619a1 |
Quadratic twists by: -4 |