Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090be |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6216326011605780 = -1 · 22 · 34 · 5 · 72 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,40457,-2136514] |
[a1,a2,a3,a4,a6] |
j |
49471280711/41992020 |
j-invariant |
L |
3.7449528796648 |
L(r)(E,1)/r! |
Ω |
0.23405958516896 |
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 |
4830k2 |
Quadratic twists by: -23 |