Atkin-Lehner |
2+ 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840g |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-16623474480 = -1 · 24 · 312 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,409,5190] |
[a1,a2,a3,a4,a6] |
j |
471749421056/1038967155 |
j-invariant |
L |
1.7156718961557 |
L(r)(E,1)/r! |
Ω |
0.85783586652272 |
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 |
46920s1 |
Quadratic twists by: -4 |