Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186o |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92928 |
Modular degree for the optimal curve |
Δ |
-80283402983168 = -1 · 28 · 7 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3411,-437005] |
[a1,a2,a3,a4,a6] |
Generators |
[1535:59310:1] |
Generators of the group modulo torsion |
j |
-1860867/34048 |
j-invariant |
L |
6.6399749037777 |
L(r)(E,1)/r! |
Ω |
0.26228784564814 |
Real period |
R |
6.3289006848272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32186f1 |
Quadratic twists by: -11 |