Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bs |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1003289166 = 2 · 36 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,-39157] |
[a1,a2,a3,a4,a6] |
Generators |
[-176201988749280:49381394775389:6560206848000] |
Generators of the group modulo torsion |
j |
110433433/94 |
j-invariant |
L |
15.311089591709 |
L(r)(E,1)/r! |
Ω |
0.69707924564136 |
Real period |
R |
21.96463269771 |
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 |
11374e1 102366t1 |
Quadratic twists by: -3 -11 |