Atkin-Lehner |
2+ 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488d |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-69016238873835264 = -1 · 28 · 322 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233332,45263680] |
[a1,a2,a3,a4,a6] |
j |
-5487929440302399568/269594683100919 |
j-invariant |
L |
0.68647529258596 |
L(r)(E,1)/r! |
Ω |
0.3432376463101 |
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 |
18744j1 112464f1 |
Quadratic twists by: -4 -3 |