Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800s |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
139296416000000 = 211 · 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36608,-2647712] |
[a1,a2,a3,a4,a6] |
j |
169556172914/4353013 |
j-invariant |
L |
2.0741298368211 |
L(r)(E,1)/r! |
Ω |
0.34568830614964 |
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 |
103600i2 2072c2 |
Quadratic twists by: -4 5 |