Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800er |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
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 |
[5052:46079:27] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
4.9002236708918 |
L(r)(E,1)/r! |
Ω |
0.20294878305952 |
Real period |
R |
6.0362811703239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fz1 26400o1 52800hr1 |
Quadratic twists by: -4 8 5 |