Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264v |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
12926324736 = 212 · 38 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,17170] |
[a1,a2,a3,a4,a6] |
j |
81182737/4329 |
j-invariant |
L |
4.9768554075054 |
L(r)(E,1)/r! |
Ω |
1.2442138520196 |
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 |
4329d1 23088q1 |
Quadratic twists by: -4 -3 |