Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bn |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2156510490624 = -1 · 212 · 37 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,-40336] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1071:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
4.8923857217485 |
L(r)(E,1)/r! |
Ω |
0.45411048048937 |
Real period |
R |
0.89779652234927 |
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 |
1071b1 68544er1 5712o1 119952eo1 |
Quadratic twists by: -4 8 -3 -7 |