Atkin-Lehner |
2- 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cp |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
63249984000000 = 212 · 35 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14238,529092] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:402:1] [12:-606:1] |
Generators of the group modulo torsion |
j |
20429256361753/4047998976 |
j-invariant |
L |
17.457056209728 |
L(r)(E,1)/r! |
Ω |
0.58927883624221 |
Real period |
R |
0.24687034298417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3486d1 |
Quadratic twists by: 5 |