Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600cm |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1647323136000000 = -1 · 217 · 33 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19275,-2207750] |
[a1,a2,a3,a4,a6] |
j |
-458314011/953312 |
j-invariant |
L |
0.76030664109148 |
L(r)(E,1)/r! |
Ω |
0.19007661376513 |
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 |
13950by1 111600cl2 4464m1 |
Quadratic twists by: -4 -3 5 |