Atkin-Lehner |
2- 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648r |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
1022466186252288 = 212 · 39 · 193 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55539,-4797198] |
[a1,a2,a3,a4,a6] |
j |
234999338211/12682291 |
j-invariant |
L |
3.7444517828326 |
L(r)(E,1)/r! |
Ω |
0.31203763085024 |
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 |
7353a1 117648u1 |
Quadratic twists by: -4 -3 |