Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800gw |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-79017198796800 = -1 · 214 · 313 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126853,-17437597] |
[a1,a2,a3,a4,a6] |
j |
-551149496796160/192913083 |
j-invariant |
L |
3.2885792901281 |
L(r)(E,1)/r! |
Ω |
0.126483818822 |
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 |
52800i1 13200c1 52800fn1 |
Quadratic twists by: -4 8 5 |