Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ev |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
3888 |
Product of Tamagawa factors cp |
Δ |
2.0132966957382E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5547942437,157584068451461] |
[a1,a2,a3,a4,a6] |
Generators |
[3193398:-1986299203:8] |
Generators of the group modulo torsion |
j |
25905502617353677771316537409289/276172386246664276359375000 |
j-invariant |
L |
12.613955755539 |
L(r)(E,1)/r! |
Ω |
0.031873419198799 |
Real period |
R |
3.6643663974283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029293 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270ba4 |
Quadratic twists by: -3 |