Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28158s |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-127172920051008 = -1 · 26 · 32 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9574,-652252] |
[a1,a2,a3,a4,a6] |
j |
-5714497/7488 |
j-invariant |
L |
2.761216539093 |
L(r)(E,1)/r! |
Ω |
0.23010137825775 |
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 |
84474s1 28158a1 |
Quadratic twists by: -3 -19 |