Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550v |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17742143181750000 = 24 · 3 · 56 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200476,33933098] |
[a1,a2,a3,a4,a6] |
Generators |
[396:3886:1] |
Generators of the group modulo torsion |
j |
57027947016536497/1135497163632 |
j-invariant |
L |
4.5607438226278 |
L(r)(E,1)/r! |
Ω |
0.38861918930526 |
Real period |
R |
5.867882940487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262k4 |
Quadratic twists by: 5 |