Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fa |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-15163465752576000 = -1 · 216 · 316 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41172,-4976048] |
[a1,a2,a3,a4,a6] |
j |
161555647964/317388375 |
j-invariant |
L |
0.82188455337933 |
L(r)(E,1)/r! |
Ω |
0.20547077775599 |
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 |
123840be1 30960g1 41280dm1 |
Quadratic twists by: -4 8 -3 |