Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322s |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-389044821305088 = -1 · 28 · 34 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5158,959204] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1046:1] |
Generators of the group modulo torsion |
j |
-3144219625/80600832 |
j-invariant |
L |
10.253886914364 |
L(r)(E,1)/r! |
Ω |
0.44740798772675 |
Real period |
R |
0.71620081640018 |
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 |
69966m1 1794e1 |
Quadratic twists by: -3 13 |