Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920n |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
94041000000 = 26 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1173,4628] |
[a1,a2,a3,a4,a6] |
j |
3825694144/2015625 |
j-invariant |
L |
1.8770006841975 |
L(r)(E,1)/r! |
Ω |
0.93850033881852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bu1 123840dj2 20640r1 |
Quadratic twists by: -4 8 -3 |