Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bf |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10674653921280 = -1 · 215 · 37 · 5 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75243,-7945702] |
[a1,a2,a3,a4,a6] |
Generators |
[391:4734:1] |
Generators of the group modulo torsion |
j |
-15777367606441/3574920 |
j-invariant |
L |
4.8915422006048 |
L(r)(E,1)/r! |
Ω |
0.14412759170039 |
Real period |
R |
4.2423714145356 |
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 |
2790v2 89280fc2 7440l2 111600dr2 |
Quadratic twists by: -4 8 -3 5 |