Atkin-Lehner |
2- 13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11362m |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-193205628928 = -1 · 212 · 13 · 193 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 -4 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1367,8409] |
[a1,a2,a3,a4,a6] |
j |
282494111483375/193205628928 |
j-invariant |
L |
1.2701522480234 |
L(r)(E,1)/r! |
Ω |
0.63507612401168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90896u1 102258o1 |
Quadratic twists by: -4 -3 |