Atkin-Lehner |
2- 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114u |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-190187050871424 = -1 · 27 · 3 · 178 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4919,-677079] |
[a1,a2,a3,a4,a6] |
j |
-545338513/7879296 |
j-invariant |
L |
6.798266832548 |
L(r)(E,1)/r! |
Ω |
0.24279524789194 |
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 |
7242h1 |
Quadratic twists by: 17 |