Atkin-Lehner |
7- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85547g |
Isogeny class |
Conductor |
85547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
8767455389 = 72 · 116 · 101 |
Discriminant |
Eigenvalues |
2 -2 -3 7- 11- 1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1492,-22225] |
[a1,a2,a3,a4,a6] |
Generators |
[474:2537:8] |
Generators of the group modulo torsion |
j |
207474688/4949 |
j-invariant |
L |
7.444973600224 |
L(r)(E,1)/r! |
Ω |
0.76924426273083 |
Real period |
R |
2.4195739771843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
707a1 |
Quadratic twists by: -11 |