Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370ci |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-1069395120493056000 = -1 · 212 · 36 · 53 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-385141,-104750437] |
[a1,a2,a3,a4,a6] |
Generators |
[1847:73164:1] |
Generators of the group modulo torsion |
j |
-53702537074079041/9089708544000 |
j-invariant |
L |
7.3040120438484 |
L(r)(E,1)/r! |
Ω |
0.094942916862412 |
Real period |
R |
0.80136003050395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bn1 |
Quadratic twists by: -7 |