Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ds |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
2.1311154743988E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118338060,-490486569968] |
[a1,a2,a3,a4,a6] |
j |
959024269496848362625/11151660319506432 |
j-invariant |
L |
2.9315934843017 |
L(r)(E,1)/r! |
Ω |
0.045806140477286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cc1 26928br1 35904cs1 |
Quadratic twists by: -4 8 -3 |