Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800ca |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-439782189750000 = -1 · 24 · 310 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31575,-2383625] |
[a1,a2,a3,a4,a6] |
j |
-19102326016/2413071 |
j-invariant |
L |
2.1338247621978 |
L(r)(E,1)/r! |
Ω |
0.17781873017066 |
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 |
111600bb1 18600l1 2232f1 |
Quadratic twists by: -4 -3 5 |