Atkin-Lehner |
2- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
75118j |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
105967346135758 = 2 · 236 · 713 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30693,2007011] |
[a1,a2,a3,a4,a6] |
Generators |
[-306693779610:14053869673279:7833173256] |
Generators of the group modulo torsion |
j |
21601086625/715822 |
j-invariant |
L |
12.113783051939 |
L(r)(E,1)/r! |
Ω |
0.59189104938513 |
Real period |
R |
20.466237941125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142d2 |
Quadratic twists by: -23 |