Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557q |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.479129006299E+21 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2399244,-1173816207] |
[a1,a2,a3,a4,a6] |
Generators |
[81490219869835910333865064066096785:10785821352015837400237274850010452789:4687569853917813677776203704125] |
Generators of the group modulo torsion |
j |
2095170815564173279232/2028983547735316571 |
j-invariant |
L |
8.110067707627 |
L(r)(E,1)/r! |
Ω |
0.082439619562929 |
Real period |
R |
49.18792536055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12173e3 |
Quadratic twists by: -3 |