Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
63200h |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5056000000 = 212 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 6 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,737] |
[a1,a2,a3,a4,a6] |
j |
140608/79 |
j-invariant |
L |
2.3557986504194 |
L(r)(E,1)/r! |
Ω |
1.1778993232176 |
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 |
63200a1 126400bx1 2528d1 |
Quadratic twists by: -4 8 5 |