Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570p |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12847104 |
Modular degree for the optimal curve |
Δ |
-1895394036989952000 = -1 · 217 · 314 · 53 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119799495,-504666906179] |
[a1,a2,a3,a4,a6] |
j |
-260832166013005415555364721/2599991820288000 |
j-invariant |
L |
0.82140687535046 |
L(r)(E,1)/r! |
Ω |
0.022816856537246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190bb1 |
Quadratic twists by: -3 |