Atkin-Lehner |
5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80275i |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-1210850288984375 = -1 · 57 · 138 · 19 |
Discriminant |
Eigenvalues |
1 1 5+ -2 3 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,-1815227] |
[a1,a2,a3,a4,a6] |
j |
-28561/95 |
j-invariant |
L |
2.3868138518433 |
L(r)(E,1)/r! |
Ω |
0.19890115246449 |
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 |
16055g1 80275d1 |
Quadratic twists by: 5 13 |