Atkin-Lehner |
3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591a |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3280896 |
Modular degree for the optimal curve |
Δ |
18178554675897 = 39 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 11+ 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4293339,-3422983096] |
[a1,a2,a3,a4,a6] |
Generators |
[14949836:1547732750:1331] |
Generators of the group modulo torsion |
j |
334071914262529617/693889 |
j-invariant |
L |
3.865138371696 |
L(r)(E,1)/r! |
Ω |
0.10488195031561 |
Real period |
R |
9.2130685513893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129591b1 129591d1 |
Quadratic twists by: -3 -11 |