Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gw |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
2532780760781250000 = 24 · 39 · 510 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-786450,-257292875] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
2.5725682861011 |
L(r)(E,1)/r! |
Ω |
0.16078551969657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400bu1 17640t1 12600cd1 |
Quadratic twists by: -3 5 -7 |