Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600q |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
951345000000 = 26 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4158,-93312] |
[a1,a2,a3,a4,a6] |
j |
7952095936/951345 |
j-invariant |
L |
4.7934072978702 |
L(r)(E,1)/r! |
Ω |
0.59917591177225 |
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 |
69600d1 13920q1 |
Quadratic twists by: -4 5 |