Atkin-Lehner |
2- 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350cd |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
5.0281128459017E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65430068,203702545552] |
[a1,a2,a3,a4,a6] |
Generators |
[-3784:632060:1] [5082:-51986:1] |
Generators of the group modulo torsion |
j |
247825399239589278831501077/4022490276721337344 |
j-invariant |
L |
13.081688343152 |
L(r)(E,1)/r! |
Ω |
0.15153367382287 |
Real period |
R |
0.17985122839632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350t2 |
Quadratic twists by: 5 |