Atkin-Lehner |
3+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271a |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
13635575397 = 39 · 193 · 101 |
Discriminant |
Eigenvalues |
0 3+ -4 4 1 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-102222,12579536] |
[a1,a2,a3,a4,a6] |
Generators |
[192:175:1] |
Generators of the group modulo torsion |
j |
6001579191140352/692759 |
j-invariant |
L |
3.4579821103414 |
L(r)(E,1)/r! |
Ω |
0.97237646326603 |
Real period |
R |
1.7781087063372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17271b1 |
Quadratic twists by: -3 |