Atkin-Lehner |
2- 3+ 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934be |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138752 |
Modular degree for the optimal curve |
Δ |
-32292551772 = -1 · 22 · 33 · 134 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,316,8291] |
[a1,a2,a3,a4,a6] |
j |
129631041981/1196020436 |
j-invariant |
L |
6.8565798678384 |
L(r)(E,1)/r! |
Ω |
0.8570725105902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128934e1 |
Quadratic twists by: -3 |