Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920a |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4960000000000 = 214 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4828,72048] |
[a1,a2,a3,a4,a6] |
Generators |
[114:627:8] |
Generators of the group modulo torsion |
j |
759636032976/302734375 |
j-invariant |
L |
3.8805564994474 |
L(r)(E,1)/r! |
Ω |
0.69818277698783 |
Real period |
R |
5.5580811033313 |
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 |
9920t2 620b2 89280cg2 49600c2 |
Quadratic twists by: -4 8 -3 5 |