Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200hs |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-709178613018750000 = -1 · 24 · 39 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257250,-64526875] |
[a1,a2,a3,a4,a6] |
j |
-71680/27 |
j-invariant |
L |
0.83234155294745 |
L(r)(E,1)/r! |
Ω |
0.10404270888039 |
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 |
29400y1 88200bl1 88200in1 |
Quadratic twists by: -3 5 -7 |