Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240do |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
11093160960 = 210 · 32 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32781,-2295405] |
[a1,a2,a3,a4,a6] |
j |
3804552637966336/10833165 |
j-invariant |
L |
2.1288460879779 |
L(r)(E,1)/r! |
Ω |
0.35480765026761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fl1 14280bo1 |
Quadratic twists by: -4 8 |