Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bs |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
1381341750864768 = 27 · 36 · 72 · 113 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45050,-3205447] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:501:1] |
Generators of the group modulo torsion |
j |
13869842580609625/1894844651392 |
j-invariant |
L |
11.260043821548 |
L(r)(E,1)/r! |
Ω |
0.33066774166441 |
Real period |
R |
0.81077240905886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394c1 |
Quadratic twists by: -3 |