Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080v |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-82814400 = -1 · 26 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
211708736/1293975 |
j-invariant |
L |
8.0339637502572 |
L(r)(E,1)/r! |
Ω |
0.96106391966149 |
Real period |
R |
1.3932413141135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080l1 68160by2 102240be1 |
Quadratic twists by: -4 8 -3 |