Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506j |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1503360 |
Modular degree for the optimal curve |
Δ |
930405488649043968 = 227 · 34 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 4 3 11+ 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-547508,148637520] |
[a1,a2,a3,a4,a6] |
j |
25662819414780409/1315467952128 |
j-invariant |
L |
3.3085866526957 |
L(r)(E,1)/r! |
Ω |
0.27571555453393 |
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 |
55506bi1 |
Quadratic twists by: 29 |