Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808m |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
43331925049344 = 232 · 32 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8824,41584] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:558:1] |
Generators of the group modulo torsion |
j |
18552800685817/10579083264 |
j-invariant |
L |
4.567368938839 |
L(r)(E,1)/r! |
Ω |
0.55031295170209 |
Real period |
R |
4.1497923360509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726c1 |
Quadratic twists by: -4 |