Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gx |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-3297234124800 = -1 · 219 · 33 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1328,-89772] |
[a1,a2,a3,a4,a6] |
j |
-2531307865/32199552 |
j-invariant |
L |
4.0722837812523 |
L(r)(E,1)/r! |
Ω |
0.33935699164353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bn1 92400fa1 |
Quadratic twists by: -4 5 |