Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400u |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
-155915539200 = -1 · 28 · 34 · 52 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15233,-728997] |
[a1,a2,a3,a4,a6] |
j |
-61084155520000/24361803 |
j-invariant |
L |
0.85944966215371 |
L(r)(E,1)/r! |
Ω |
0.21486240515527 |
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 |
40200d1 80400q1 |
Quadratic twists by: -4 5 |