Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-100018800 = -1 · 24 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9998,-388137] |
[a1,a2,a3,a4,a6] |
j |
-805661175040/729 |
j-invariant |
L |
2.8646322586244 |
L(r)(E,1)/r! |
Ω |
0.23871935509964 |
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 |
14700m1 58800hn1 58800gc1 |
Quadratic twists by: -4 5 -7 |