Atkin-Lehner |
3+ 7- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351b |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3843477187893 = 39 · 73 · 193 · 83 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8910,-309670] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:66:1] [-60:94:1] |
Generators of the group modulo torsion |
j |
3974344704000/195268871 |
j-invariant |
L |
9.6756084195216 |
L(r)(E,1)/r! |
Ω |
0.49289247976423 |
Real period |
R |
1.0905701003508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99351a1 |
Quadratic twists by: -3 |