Atkin-Lehner |
2- 3- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
32706f |
Isogeny class |
Conductor |
32706 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-42386976 = -1 · 25 · 36 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 2 0 6 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14,317] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:19:1] |
Generators of the group modulo torsion |
j |
-389017/58144 |
j-invariant |
L |
8.2443442755528 |
L(r)(E,1)/r! |
Ω |
1.6631716450667 |
Real period |
R |
0.49570014616392 |
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 |
3634c1 |
Quadratic twists by: -3 |