Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256bq |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-2454156785869671168 = -1 · 28 · 37 · 1110 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 3 11- 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,-80525500] |
[a1,a2,a3,a4,a6] |
j |
-123904/507 |
j-invariant |
L |
1.7005103103773 |
L(r)(E,1)/r! |
Ω |
0.10628189823858 |
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 |
37752e1 113256ba1 |
Quadratic twists by: -3 -11 |