Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bg |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-427430934097920 = -1 · 212 · 36 · 5 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121008,-16232528] |
[a1,a2,a3,a4,a6] |
Generators |
[330397378833664154064508887:6795942274396075654117751201:509603116425589076589063] |
Generators of the group modulo torsion |
j |
-65626385453056/143145755 |
j-invariant |
L |
5.5201676811672 |
L(r)(E,1)/r! |
Ω |
0.12797032679225 |
Real period |
R |
43.136309951984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1395c2 89280fd2 2480m2 111600dy2 |
Quadratic twists by: -4 8 -3 5 |