Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640bq |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
199125000000 = 26 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1531,-7919] |
[a1,a2,a3,a4,a6] |
j |
6205159461376/3111328125 |
j-invariant |
L |
0.80415994311397 |
L(r)(E,1)/r! |
Ω |
0.80415994724084 |
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 |
56640cv1 28320z1 |
Quadratic twists by: -4 8 |