Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275d |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6876850640625 = 38 · 56 · 72 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58280,-5399278] |
[a1,a2,a3,a4,a6] |
j |
1921886786737/603729 |
j-invariant |
L |
1.2291034278562 |
L(r)(E,1)/r! |
Ω |
0.30727585678201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19425n2 2331h2 |
Quadratic twists by: -3 5 |