Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bw |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-181949693952 = -1 · 218 · 3 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,-20447] |
[a1,a2,a3,a4,a6] |
Generators |
[7680:60109:125] |
Generators of the group modulo torsion |
j |
23639903/694083 |
j-invariant |
L |
7.4263072543436 |
L(r)(E,1)/r! |
Ω |
0.48859817268156 |
Real period |
R |
7.5996060580373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352be2 23088q2 |
Quadratic twists by: -4 8 |