Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158r |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-9739825189945344 = -1 · 216 · 35 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7047,-4754295] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
7.3015163925063 |
L(r)(E,1)/r! |
Ω |
0.18253790981264 |
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 |
84474p1 78a1 |
Quadratic twists by: -3 -19 |