Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186j |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-176636768 = -1 · 25 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,129,306] |
[a1,a2,a3,a4,a6] |
Generators |
[0:17:1] |
Generators of the group modulo torsion |
j |
1983983375/1459808 |
j-invariant |
L |
5.0017381559435 |
L(r)(E,1)/r! |
Ω |
1.1502453541877 |
Real period |
R |
1.0871024468245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186u1 |
Quadratic twists by: -11 |