Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800dt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-11430720000000000 = -1 · 215 · 36 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,5150000] |
[a1,a2,a3,a4,a6] |
j |
-200/49 |
j-invariant |
L |
2.6273319926305 |
L(r)(E,1)/r! |
Ω |
0.32841653931517 |
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 |
100800fg1 50400y1 11200g1 100800ie1 |
Quadratic twists by: -4 8 -3 5 |