Atkin-Lehner |
2- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84656n |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-84656 = -1 · 24 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 1 1 -4 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,182] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-1927561216/5291 |
j-invariant |
L |
5.4542093900668 |
L(r)(E,1)/r! |
Ω |
3.4224651437803 |
Real period |
R |
1.5936493593445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21164b1 |
Quadratic twists by: -4 |