Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499l |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
140833784817 = 32 · 118 · 73 |
Discriminant |
Eigenvalues |
1 3- -4 -2 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22388,1287317] |
[a1,a2,a3,a4,a6] |
j |
700463661841/79497 |
j-invariant |
L |
0.99336526310848 |
L(r)(E,1)/r! |
Ω |
0.99336526310875 |
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 |
79497n1 2409e1 |
Quadratic twists by: -3 -11 |