Atkin-Lehner |
3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425l |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
336856640625 = 33 · 58 · 19 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6338,191667] |
[a1,a2,a3,a4,a6] |
Generators |
[1:430:1] |
Generators of the group modulo torsion |
j |
1802041022809/21558825 |
j-invariant |
L |
4.8874032581535 |
L(r)(E,1)/r! |
Ω |
0.96509747228846 |
Real period |
R |
1.6880516903019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11685b1 |
Quadratic twists by: 5 |