Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808y |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-41211810643968 = -1 · 215 · 310 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9584,472020] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-342:1] [-62:912:1] |
Generators of the group modulo torsion |
j |
-23771111713777/10061477208 |
j-invariant |
L |
9.7617718768263 |
L(r)(E,1)/r! |
Ω |
0.60348818327838 |
Real period |
R |
0.20219476013175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6726e1 |
Quadratic twists by: -4 |