Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191g |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-474427474983 = -1 · 32 · 77 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4068,-105561] |
[a1,a2,a3,a4,a6] |
j |
-63282696625/4032567 |
j-invariant |
L |
1.1912049008925 |
L(r)(E,1)/r! |
Ω |
0.29780122522998 |
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 |
111573bc1 5313c1 |
Quadratic twists by: -3 -7 |