Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568r |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
863549111384064 = 211 · 35 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 6 -5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28240,-1165984] |
[a1,a2,a3,a4,a6] |
j |
30138446/10449 |
j-invariant |
L |
3.787192311196 |
L(r)(E,1)/r! |
Ω |
0.37871923115352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136d1 50568k1 |
Quadratic twists by: -4 -7 |