Atkin-Lehner |
2- 3+ 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25404c |
Isogeny class |
Conductor |
25404 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-3211893160704 = -1 · 28 · 35 · 294 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 0 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1189,-87263] |
[a1,a2,a3,a4,a6] |
j |
-726765862912/12546457659 |
j-invariant |
L |
4.1104878354826 |
L(r)(E,1)/r! |
Ω |
0.34254065295689 |
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 |
101616q1 76212h1 |
Quadratic twists by: -4 -3 |