Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bh |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
214704000000000000 = 216 · 33 · 512 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18326616,30203639280] |
[a1,a2,a3,a4,a6] |
j |
166192196667179593497049/52417968750000 |
j-invariant |
L |
1.0162484882149 |
L(r)(E,1)/r! |
Ω |
0.2540622191093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910n3 |
Quadratic twists by: -4 |