Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320l |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
806889888544757760 = 211 · 326 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236667,9800714] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:6622:1] |
Generators of the group modulo torsion |
j |
981927331418738/540451582155 |
j-invariant |
L |
5.7247578115962 |
L(r)(E,1)/r! |
Ω |
0.24564868174827 |
Real period |
R |
5.8261637828192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11160p4 89280dz3 7440a4 111600s3 |
Quadratic twists by: -4 8 -3 5 |