Atkin-Lehner |
3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
8967l |
Isogeny class |
Conductor |
8967 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19152 |
Modular degree for the optimal curve |
Δ |
-4922883 = -1 · 33 · 72 · 612 |
Discriminant |
Eigenvalues |
0 3- -4 7- -2 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33245,-2344240] |
[a1,a2,a3,a4,a6] |
j |
-82931535654682624/100467 |
j-invariant |
L |
1.0606891745185 |
L(r)(E,1)/r! |
Ω |
0.17678152908641 |
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 |
26901s1 8967b1 |
Quadratic twists by: -3 -7 |