Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176f |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-53194752 = -1 · 212 · 33 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 1 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,-347] |
[a1,a2,a3,a4,a6] |
j |
-64000/12987 |
j-invariant |
L |
1.7786477429274 |
L(r)(E,1)/r! |
Ω |
0.88932387142068 |
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 |
46176j1 92352cc1 |
Quadratic twists by: -4 8 |