Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475j |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.0693503046978E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26226626,58161662273] |
[a1,a2,a3,a4,a6] |
Generators |
[772936:75572313:512] |
Generators of the group modulo torsion |
j |
-127682368923333819436561/19643841950066015625 |
j-invariant |
L |
9.4071881495714 |
L(r)(E,1)/r! |
Ω |
0.093537290720906 |
Real period |
R |
12.571440891014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695b3 |
Quadratic twists by: 5 |