Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798v |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.1076456387271E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255750858,912738807540] |
[a1,a2,a3,a4,a6] |
Generators |
[-13735240142949:18290065709112426:17313676003] |
Generators of the group modulo torsion |
j |
525759790900426992937/201993839889813504 |
j-invariant |
L |
3.8030945180424 |
L(r)(E,1)/r! |
Ω |
0.046307700132732 |
Real period |
R |
20.531652981706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19266ba2 4446t2 |
Quadratic twists by: -3 13 |