Atkin-Lehner |
2+ 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290c |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
3712026009600000 = 216 · 36 · 55 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 -5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-621945,-188610579] |
[a1,a2,a3,a4,a6] |
j |
36496609335874699921/5091942400000 |
j-invariant |
L |
0.68002540459273 |
L(r)(E,1)/r! |
Ω |
0.17000635757411 |
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 |
10810f1 |
Quadratic twists by: -3 |