Atkin-Lehner |
2- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37696j |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-38291898368 = -1 · 221 · 19 · 312 |
Discriminant |
Eigenvalues |
2- -1 -2 5 4 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,831,-2207] |
[a1,a2,a3,a4,a6] |
j |
241804367/146072 |
j-invariant |
L |
2.6794651363519 |
L(r)(E,1)/r! |
Ω |
0.66986628408232 |
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 |
37696i1 9424e1 |
Quadratic twists by: -4 8 |