Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056j |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132608 |
Modular degree for the optimal curve |
Δ |
5909059380224 = 210 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17264,871004] |
[a1,a2,a3,a4,a6] |
j |
13771804/143 |
j-invariant |
L |
0.76063063743867 |
L(r)(E,1)/r! |
Ω |
0.76063063875262 |
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 |
112112j1 56056h1 |
Quadratic twists by: -4 -7 |