Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800hl |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-8279884800000000 = -1 · 216 · 35 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3167,4378463] |
[a1,a2,a3,a4,a6] |
j |
137180/323433 |
j-invariant |
L |
3.2489906754593 |
L(r)(E,1)/r! |
Ω |
0.32489906754835 |
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 |
52800br1 13200n1 52800ec1 |
Quadratic twists by: -4 8 5 |