Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40053a |
Isogeny class |
Conductor |
40053 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
548285517 = 35 · 134 · 79 |
Discriminant |
Eigenvalues |
0 3+ 0 4 -6 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-563,-4834] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:49:8] |
Generators of the group modulo torsion |
j |
692224000/19197 |
j-invariant |
L |
3.8134186168462 |
L(r)(E,1)/r! |
Ω |
0.98162105234456 |
Real period |
R |
3.8848174738548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159e1 40053b1 |
Quadratic twists by: -3 13 |