Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808z |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-21943332864 = -1 · 212 · 34 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2421,45603] |
[a1,a2,a3,a4,a6] |
Generators |
[6:177:1] |
Generators of the group modulo torsion |
j |
-383290015744/5357259 |
j-invariant |
L |
8.1032469017641 |
L(r)(E,1)/r! |
Ω |
1.2109134067782 |
Real period |
R |
0.83648083921872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3363a1 |
Quadratic twists by: -4 |