Atkin-Lehner |
23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43907a |
Isogeny class |
Conductor |
43907 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
282600512101 = 237 · 83 |
Discriminant |
Eigenvalues |
0 0 3 2 4 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2116,-27376] |
[a1,a2,a3,a4,a6] |
Generators |
[6670:13427:125] |
Generators of the group modulo torsion |
j |
7077888/1909 |
j-invariant |
L |
6.3817213026537 |
L(r)(E,1)/r! |
Ω |
0.71812423074469 |
Real period |
R |
4.4433268154873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1909a1 |
Quadratic twists by: -23 |