Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bk |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56960186502240000 = 28 · 314 · 54 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-378740,89102412] |
[a1,a2,a3,a4,a6] |
j |
23469747540942749776/222500728524375 |
j-invariant |
L |
2.8340039247496 |
L(r)(E,1)/r! |
Ω |
0.35425049052934 |
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 |
13020b2 |
Quadratic twists by: -4 |