Atkin-Lehner |
5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
34445a |
Isogeny class |
Conductor |
34445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
771456 |
Modular degree for the optimal curve |
Δ |
-16960031868516875 = -1 · 54 · 837 |
Discriminant |
Eigenvalues |
-1 3 5+ 1 3 6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-752193,251363356] |
[a1,a2,a3,a4,a6] |
j |
-143960212521/51875 |
j-invariant |
L |
3.0623078150132 |
L(r)(E,1)/r! |
Ω |
0.38278847687763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
415a1 |
Quadratic twists by: -83 |