Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292k |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
6574608 = 24 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377478,-89391843] |
[a1,a2,a3,a4,a6] |
Generators |
[1401:46191:1] |
Generators of the group modulo torsion |
j |
371774686466665696000/410913 |
j-invariant |
L |
6.3483288292466 |
L(r)(E,1)/r! |
Ω |
0.19260898714531 |
Real period |
R |
6.5919341805762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bo1 60876o1 |
Quadratic twists by: -4 -3 |