Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13640g |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
136400 = 24 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115,438] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
10603964416/8525 |
j-invariant |
L |
3.3931205965595 |
L(r)(E,1)/r! |
Ω |
3.2539187225454 |
Real period |
R |
1.0427797636891 |
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 |
27280j1 109120g1 122760n1 68200b1 |
Quadratic twists by: -4 8 -3 5 |