Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17800j |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
6188281250000 = 24 · 511 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26783,1673938] |
[a1,a2,a3,a4,a6] |
j |
8499190872064/24753125 |
j-invariant |
L |
1.5141801561979 |
L(r)(E,1)/r! |
Ω |
0.75709007809896 |
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 |
35600c1 3560c1 |
Quadratic twists by: -4 5 |