Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271l |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-113428425801534129 = -1 · 310 · 113 · 137 · 23 |
Discriminant |
Eigenvalues |
1 3+ -1 3 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282233,59825394] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-2788:1] |
Generators of the group modulo torsion |
j |
-515097425213281/23499671481 |
j-invariant |
L |
5.8789584956406 |
L(r)(E,1)/r! |
Ω |
0.32970936502751 |
Real period |
R |
1.4858940980023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867f1 |
Quadratic twists by: 13 |