Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600v |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-5649750000000000 = -1 · 210 · 36 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72675,8363250] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
3.3133749318876 |
L(r)(E,1)/r! |
Ω |
0.41417198052778 |
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 |
55800by1 12400a1 22320o1 |
Quadratic twists by: -4 -3 5 |