Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cs |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
6832540138093824 = 28 · 3 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-546597,155309559] |
[a1,a2,a3,a4,a6] |
Generators |
[242440:869169:512] |
Generators of the group modulo torsion |
j |
7929856/3 |
j-invariant |
L |
7.0534479043618 |
L(r)(E,1)/r! |
Ω |
0.41323788699397 |
Real period |
R |
8.5343674032588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148z1 71148cu1 |
Quadratic twists by: -7 -11 |