Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192bi |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-12726525739312 = -1 · 24 · 74 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5566,62557] |
[a1,a2,a3,a4,a6] |
Generators |
[402654:5759335:9261] |
Generators of the group modulo torsion |
j |
672786432/448987 |
j-invariant |
L |
9.2772396006453 |
L(r)(E,1)/r! |
Ω |
0.44612391296021 |
Real period |
R |
10.397603977879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10472a1 |
Quadratic twists by: -11 |