Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960o |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1197048632000 = -1 · 26 · 53 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 0 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1115,-51025] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:15379:8] |
Generators of the group modulo torsion |
j |
2393198821376/18703884875 |
j-invariant |
L |
7.0040128738373 |
L(r)(E,1)/r! |
Ω |
0.42962303392266 |
Real period |
R |
2.71711575175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997103404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bg2 2015a2 |
Quadratic twists by: -4 8 |