Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762v |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-42959297052 = -1 · 22 · 34 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,856,2594] |
[a1,a2,a3,a4,a6] |
j |
590589719/365148 |
j-invariant |
L |
2.8215921179811 |
L(r)(E,1)/r! |
Ω |
0.70539802949529 |
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 |
54096br1 20286cl1 966d1 |
Quadratic twists by: -4 -3 -7 |