Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960ba |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-6705920000000 = -1 · 214 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -2 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501,-124499] |
[a1,a2,a3,a4,a6] |
Generators |
[3748:229421:1] |
Generators of the group modulo torsion |
j |
-850518016/409296875 |
j-invariant |
L |
5.5448030197928 |
L(r)(E,1)/r! |
Ω |
0.33656815292159 |
Real period |
R |
8.2372664488717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998415694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960k1 32240l1 |
Quadratic twists by: -4 8 |