Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bd |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-604619769600 = -1 · 28 · 38 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1980,-16304] |
[a1,a2,a3,a4,a6] |
Generators |
[17:140:1] [23:191:1] |
Generators of the group modulo torsion |
j |
1177249106879/829382400 |
j-invariant |
L |
8.2032600023856 |
L(r)(E,1)/r! |
Ω |
0.51648643304422 |
Real period |
R |
1.9853522470551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270ca1 |
Quadratic twists by: -3 |