Atkin-Lehner |
3+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263k |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5418065293772E+19 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1020274,-349213025] |
[a1,a2,a3,a4,a6] |
Generators |
[-595143541124088:-3090051864276161:834832503296] |
Generators of the group modulo torsion |
j |
66300793297143553/8703095910201 |
j-invariant |
L |
7.2716472230462 |
L(r)(E,1)/r! |
Ω |
0.15151890267963 |
Real period |
R |
23.995841702508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021687 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9933a2 |
Quadratic twists by: -11 |