Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bm |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-214994395348992 = -1 · 214 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9084,780208] |
[a1,a2,a3,a4,a6] |
Generators |
[101:945:1] |
Generators of the group modulo torsion |
j |
-6940769488/18000297 |
j-invariant |
L |
6.7644599722595 |
L(r)(E,1)/r! |
Ω |
0.49587117076925 |
Real period |
R |
3.4103918370367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544es2 4284e2 22848v2 |
Quadratic twists by: -4 8 -3 |