Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-39719214986035200 = -1 · 226 · 3 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68360,-6656812] |
[a1,a2,a3,a4,a6] |
j |
176022219667511/197899468800 |
j-invariant |
L |
3.9183218623974 |
L(r)(E,1)/r! |
Ω |
0.19591607830265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170l1 129360dn1 |
Quadratic twists by: -4 -7 |