Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034c |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1320 |
Modular degree for the optimal curve |
Δ |
-1156896 = -1 · 25 · 33 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53,-160] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/1156896 |
j-invariant |
L |
2.6491522155312 |
L(r)(E,1)/r! |
Ω |
0.88305073851041 |
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 |
64272o1 24102y1 104442bh1 |
Quadratic twists by: -4 -3 13 |