Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176g |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
993280 |
Modular degree for the optimal curve |
Δ |
14033717568 = 26 · 32 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32485458,71276701788] |
[a1,a2,a3,a4,a6] |
j |
59239411271478931375000000/219276837 |
j-invariant |
L |
0.80794318229106 |
L(r)(E,1)/r! |
Ω |
0.4039715911431 |
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 |
46176k1 92352cd2 |
Quadratic twists by: -4 8 |