Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fm |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
21346578000000000 = 210 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101333,10268037] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:4092:1] [-4:3267:1] |
Generators of the group modulo torsion |
j |
57537462272/10673289 |
j-invariant |
L |
8.4676698233486 |
L(r)(E,1)/r! |
Ω |
0.36380436736498 |
Real period |
R |
2.9094173211423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dj1 13200cn1 52800hq1 |
Quadratic twists by: -4 8 5 |