Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502s |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
15931796827434048 = 26 · 39 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68085,3160053] |
[a1,a2,a3,a4,a6] |
Generators |
[34:923:1] |
Generators of the group modulo torsion |
j |
27027009001/12336192 |
j-invariant |
L |
6.3303408826137 |
L(r)(E,1)/r! |
Ω |
0.3514009540837 |
Real period |
R |
4.5036452594005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998713848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834bj1 11682t1 |
Quadratic twists by: -3 -11 |