Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632r |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-381636186672 = -1 · 24 · 3 · 132 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1203,34188] |
[a1,a2,a3,a4,a6] |
j |
-256000/507 |
j-invariant |
L |
3.3902921451736 |
L(r)(E,1)/r! |
Ω |
0.84757308143205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312a1 |
Quadratic twists by: -19 |