Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120h |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-8438451709446000 = -1 · 24 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35937,-3557763] |
[a1,a2,a3,a4,a6] |
j |
76032/125 |
j-invariant |
L |
0.43546886917683 |
L(r)(E,1)/r! |
Ω |
0.21773446394779 |
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 |
43560d1 87120p1 87120g1 |
Quadratic twists by: -4 -3 -11 |