Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dl |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97029900000000 = 28 · 36 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1597575,-777212750] |
[a1,a2,a3,a4,a6] |
Generators |
[-8626407940842:-142093572691:11821188952] |
Generators of the group modulo torsion |
j |
154639330142416/33275 |
j-invariant |
L |
5.0961455430281 |
L(r)(E,1)/r! |
Ω |
0.13428708492071 |
Real period |
R |
18.974816327403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900t4 4400t4 7920ba4 |
Quadratic twists by: -4 -3 5 |