Atkin-Lehner |
2+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
57850c |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
-477375488281250 = -1 · 2 · 513 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 0 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18683,-377409] |
[a1,a2,a3,a4,a6] |
j |
46156243081311/30552031250 |
j-invariant |
L |
0.59820323124517 |
L(r)(E,1)/r! |
Ω |
0.29910161435163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11570d1 |
Quadratic twists by: 5 |