Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485n |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.4814180156826E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7580774,8022334241] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:116182:1] |
Generators of the group modulo torsion |
j |
27196196312929459249/42230654296875 |
j-invariant |
L |
5.0465475586481 |
L(r)(E,1)/r! |
Ω |
0.19368784985239 |
Real period |
R |
3.2568818607454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455bb2 3135d2 |
Quadratic twists by: -3 -11 |