Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240p |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
7003834658000 = 24 · 53 · 172 · 594 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10881,-421550] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-2006:1] [683694:15163354:1331] |
Generators of the group modulo torsion |
j |
8905331134971904/437739666125 |
j-invariant |
L |
7.410106675387 |
L(r)(E,1)/r! |
Ω |
0.46886920919209 |
Real period |
R |
7.90210417975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20060d1 |
Quadratic twists by: -4 |