Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241r |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
157506993998991 = 37 · 78 · 13 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 7- 6 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7430190,7794952141] |
[a1,a2,a3,a4,a6] |
j |
385598331671358818377/1338787359 |
j-invariant |
L |
5.3762098083411 |
L(r)(E,1)/r! |
Ω |
0.38401498665806 |
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 |
8463e2 |
Quadratic twists by: -7 |