Atkin-Lehner |
2- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280h |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48223846400 = 215 · 52 · 372 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29416,1932084] |
[a1,a2,a3,a4,a6] |
Generators |
[62:592:1] |
Generators of the group modulo torsion |
j |
687273151702249/11773400 |
j-invariant |
L |
2.2503053745879 |
L(r)(E,1)/r! |
Ω |
1.0375247954873 |
Real period |
R |
0.54222931018175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999813242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15910a2 |
Quadratic twists by: -4 |