Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bf |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
6370144535199744 = 214 · 314 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120049,15502511] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1053:1] |
Generators of the group modulo torsion |
j |
11678391514890448/388802767041 |
j-invariant |
L |
8.4256897114941 |
L(r)(E,1)/r! |
Ω |
0.42069255284244 |
Real period |
R |
0.47686049689295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bx1 11544b1 |
Quadratic twists by: -4 8 |