Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bb |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3667115311364678400 = 28 · 322 · 52 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5798664,5375184448] |
[a1,a2,a3,a4,a6] |
j |
29578766540586096947329/5030336503929600 |
j-invariant |
L |
1.9308270130331 |
L(r)(E,1)/r! |
Ω |
0.2413533767485 |
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 |
17670n2 |
Quadratic twists by: -3 |