Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040w |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-3.1109456701662E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-451776,292549140] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:-19890:1] [-858:7020:1] |
Generators of the group modulo torsion |
j |
-4979252943420552578/15190164405108225 |
j-invariant |
L |
9.7432058761421 |
L(r)(E,1)/r! |
Ω |
0.18333769377361 |
Real period |
R |
0.83036711481012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520p3 |
Quadratic twists by: -4 |