Atkin-Lehner |
3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925b |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
37596682828125 = 311 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 1 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43783,3528468] |
[a1,a2,a3,a4,a6] |
j |
594059784454144/2406187701 |
j-invariant |
L |
1.3044531931175 |
L(r)(E,1)/r! |
Ω |
0.65222659490226 |
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 |
2397d1 |
Quadratic twists by: 5 |