Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158m |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
5.5428176376956E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53307614,149741914907] |
[a1,a2,a3,a4,a6] |
Generators |
[-3175:537311:1] |
Generators of the group modulo torsion |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
5.676697959375 |
L(r)(E,1)/r! |
Ω |
0.13269015794362 |
Real period |
R |
3.5651337718827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84474o1 1482d1 |
Quadratic twists by: -3 -19 |