Atkin-Lehner |
7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31339c |
Isogeny class |
Conductor |
31339 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7711628063293 = 76 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 0 4 7+ 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23013,1342784] |
[a1,a2,a3,a4,a6] |
j |
760798453689/4353013 |
j-invariant |
L |
1.4893822853108 |
L(r)(E,1)/r! |
Ω |
0.74469114265715 |
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 |
259a2 |
Quadratic twists by: -11 |