Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11346f |
Isogeny class |
Conductor |
11346 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-25205957001216 = -1 · 216 · 38 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -5 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8965,405569] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-1561:1] |
Generators of the group modulo torsion |
j |
-79685191655966161/25205957001216 |
j-invariant |
L |
8.1224117899142 |
L(r)(E,1)/r! |
Ω |
0.63454134096496 |
Real period |
R |
0.050001739848979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90768e1 34038c1 |
Quadratic twists by: -4 -3 |