Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520s |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
971194896000000 = 210 · 32 · 56 · 74 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53800,4581052] |
[a1,a2,a3,a4,a6] |
Generators |
[214:-1680:1] |
Generators of the group modulo torsion |
j |
16818166777456804/948432515625 |
j-invariant |
L |
5.6551681016622 |
L(r)(E,1)/r! |
Ω |
0.48762948344895 |
Real period |
R |
0.96643870903529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040r2 |
Quadratic twists by: -4 |