Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fz |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-2223601875000000 = -1 · 26 · 35 · 510 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7083,2277963] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1089:1] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
6.7116460048591 |
L(r)(E,1)/r! |
Ω |
0.38233997740878 |
Real period |
R |
1.7554130882123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800er1 26400g1 52800fg1 |
Quadratic twists by: -4 8 5 |