Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400cf |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-35218750000 = -1 · 24 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,5912] |
[a1,a2,a3,a4,a6] |
j |
1048576/1127 |
j-invariant |
L |
0.76941690318727 |
L(r)(E,1)/r! |
Ω |
0.76941690507485 |
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 |
16100i1 64400ci1 |
Quadratic twists by: -4 5 |