Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950ba |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1481040 |
Modular degree for the optimal curve |
Δ |
-42475919200000000 = -1 · 211 · 58 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11+ 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-868325,-311957875] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/22528 |
j-invariant |
L |
2.1112877508285 |
L(r)(E,1)/r! |
Ω |
0.078195837756673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92950br1 550m1 |
Quadratic twists by: 5 13 |