Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bo |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
453035520000 = 212 · 32 · 54 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373280,87905472] |
[a1,a2,a3,a4,a6] |
Generators |
[194:4770:1] |
Generators of the group modulo torsion |
j |
1404329736140140321/110604375 |
j-invariant |
L |
6.151904681719 |
L(r)(E,1)/r! |
Ω |
0.71516607217574 |
Real period |
R |
1.0752580620396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5565g2 |
Quadratic twists by: -4 |