Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ee |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
5889153600000000 = 212 · 39 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74630,6942997] |
[a1,a2,a3,a4,a6] |
Generators |
[89:955:1] |
Generators of the group modulo torsion |
j |
149467669443/19148800 |
j-invariant |
L |
10.800329973582 |
L(r)(E,1)/r! |
Ω |
0.41067132939315 |
Real period |
R |
1.0958002585065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150c1 16830i1 |
Quadratic twists by: -3 5 |