Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249bf |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-151423327897281 = -1 · 37 · 118 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- -3 -3 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9622,-695419] |
[a1,a2,a3,a4,a6] |
Generators |
[131:479:1] |
Generators of the group modulo torsion |
j |
-459601153/706401 |
j-invariant |
L |
2.4936523048603 |
L(r)(E,1)/r! |
Ω |
0.22861298809882 |
Real period |
R |
0.51941644885666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249m1 |
Quadratic twists by: -11 |