Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200bv |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-273375000000 = -1 · 26 · 37 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-25000] |
[a1,a2,a3,a4,a6] |
j |
64/3 |
j-invariant |
L |
0.93769354553286 |
L(r)(E,1)/r! |
Ω |
0.46884677276643 |
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 |
7200bt1 14400ey1 2400e1 7200v1 |
Quadratic twists by: -4 8 -3 5 |