Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200m |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5056000000 = 212 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 2 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,45263] |
[a1,a2,a3,a4,a6] |
j |
24897088/79 |
j-invariant |
L |
2.7394450345223 |
L(r)(E,1)/r! |
Ω |
1.3697225209422 |
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 |
63200g1 126400f1 2528a1 |
Quadratic twists by: -4 8 5 |