Atkin-Lehner |
2- 3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57528g |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
68442672384 = 28 · 39 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 5 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,-195372] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:17:1] |
Generators of the group modulo torsion |
j |
5678318592/13583 |
j-invariant |
L |
7.1250851510936 |
L(r)(E,1)/r! |
Ω |
0.5344327201467 |
Real period |
R |
1.6665065784964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115056a1 57528a1 |
Quadratic twists by: -4 -3 |