Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152f |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-54041773104 = -1 · 24 · 36 · 113 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87,11160] |
[a1,a2,a3,a4,a6] |
j |
-4604090368/3377610819 |
j-invariant |
L |
2.7162952137122 |
L(r)(E,1)/r! |
Ω |
0.90543173790337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15576h1 124608cq1 93456p1 |
Quadratic twists by: -4 8 -3 |