Atkin-Lehner |
3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49011h |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-3523292875668771 = -1 · 35 · 17 · 318 |
Discriminant |
Eigenvalues |
0 3- 1 -2 -1 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120445,-16380788] |
[a1,a2,a3,a4,a6] |
j |
-217732612096/3969891 |
j-invariant |
L |
1.2799775378566 |
L(r)(E,1)/r! |
Ω |
0.12799775385007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1581a1 |
Quadratic twists by: -31 |