Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31164l |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7992 |
Modular degree for the optimal curve |
Δ |
-1121904 = -1 · 24 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 6 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-226,-1387] |
[a1,a2,a3,a4,a6] |
j |
-1635510016/1431 |
j-invariant |
L |
1.8462091418873 |
L(r)(E,1)/r! |
Ω |
0.61540304729582 |
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 |
124656cd1 93492v1 31164a1 |
Quadratic twists by: -4 -3 -7 |