Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360er |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
17740800 |
Modular degree for the optimal curve |
Δ |
3.729053763666E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67021285,209155682317] |
[a1,a2,a3,a4,a6] |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
3.1589466978018 |
L(r)(E,1)/r! |
Ω |
0.095725671921483 |
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 |
8085t1 129360gp1 |
Quadratic twists by: -4 -7 |