Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186x |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-225302 = -1 · 2 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3,23] |
[a1,a2,a3,a4,a6] |
Generators |
[38:79:8] |
Generators of the group modulo torsion |
j |
24167/1862 |
j-invariant |
L |
11.472468334808 |
L(r)(E,1)/r! |
Ω |
2.4027430090464 |
Real period |
R |
2.3873689969368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186b1 |
Quadratic twists by: -11 |