Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271h |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3092544 |
Modular degree for the optimal curve |
Δ |
-2626421832448317189 = -1 · 37 · 112 · 138 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 3 0 11- 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1455009,679411884] |
[a1,a2,a3,a4,a6] |
j |
-417612944086897/3219716709 |
j-invariant |
L |
1.5454419848233 |
L(r)(E,1)/r! |
Ω |
0.25757376367176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128271d1 |
Quadratic twists by: 13 |