Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cp |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3065299200 = -1 · 28 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-1752] |
[a1,a2,a3,a4,a6] |
j |
428750000/478953 |
j-invariant |
L |
6.1386185324769 |
L(r)(E,1)/r! |
Ω |
0.76732732242028 |
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 |
21900b1 87600bv1 |
Quadratic twists by: -4 5 |