Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32240k |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-39657779200 = -1 · 212 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,619,7325] |
[a1,a2,a3,a4,a6] |
Generators |
[794:8145:8] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
8.3197010262366 |
L(r)(E,1)/r! |
Ω |
0.78095102126103 |
Real period |
R |
5.3266471262196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b1 128960bh1 |
Quadratic twists by: -4 8 |