Atkin-Lehner |
7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6461d |
Isogeny class |
Conductor |
6461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1136 |
Modular degree for the optimal curve |
Δ |
-45227 = -1 · 72 · 13 · 71 |
Discriminant |
Eigenvalues |
-2 1 4 7- -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[8:17:1] |
Generators of the group modulo torsion |
j |
-2019487744/45227 |
j-invariant |
L |
3.057240597296 |
L(r)(E,1)/r! |
Ω |
1.0523679953528 |
Real period |
R |
1.452553009402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103376n1 58149j1 45227f1 83993d1 |
Quadratic twists by: -4 -3 -7 13 |