Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31164h |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-376959744 = -1 · 28 · 34 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149,-1119] |
[a1,a2,a3,a4,a6] |
j |
-4194304/4293 |
j-invariant |
L |
2.6237964376022 |
L(r)(E,1)/r! |
Ω |
0.65594910940096 |
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 |
124656dv1 93492r1 31164q1 |
Quadratic twists by: -4 -3 -7 |