Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
1422c |
Isogeny class |
Conductor |
1422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-230364 = -1 · 22 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-23] |
[a1,a2,a3,a4,a6] |
j |
103823/316 |
j-invariant |
L |
1.606915069392 |
L(r)(E,1)/r! |
Ω |
1.606915069392 |
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 |
11376r1 45504p1 158e1 35550bl1 |
Quadratic twists by: -4 8 -3 5 |