Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220n |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3761413892893440 = 28 · 312 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39063,-351682] |
[a1,a2,a3,a4,a6] |
j |
35322627332176/20155038435 |
j-invariant |
L |
2.2051909401423 |
L(r)(E,1)/r! |
Ω |
0.36753182354824 |
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 |
19740n2 |
Quadratic twists by: -3 |