Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380i |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.20410296875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741783,-180542018] |
[a1,a2,a3,a4,a6] |
j |
241872696679049296/64520263671875 |
j-invariant |
L |
1.3273300135569 |
L(r)(E,1)/r! |
Ω |
0.16591625103789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820c2 |
Quadratic twists by: -3 |