Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798v |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12644352 |
Modular degree for the optimal curve |
Δ |
4.1456881168836E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224600778,1295268019956] |
[a1,a2,a3,a4,a6] |
Generators |
[17727645:-208747482:2197] |
Generators of the group modulo torsion |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
3.8030945180424 |
L(r)(E,1)/r! |
Ω |
0.092615400265465 |
Real period |
R |
10.265826490853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19266ba1 4446t1 |
Quadratic twists by: -3 13 |