Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bh |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-77191676866031616 = -1 · 212 · 38 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2547,-13367835] |
[a1,a2,a3,a4,a6] |
Generators |
[1509:57768:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
2.8199268191964 |
L(r)(E,1)/r! |
Ω |
0.15837968503656 |
Real period |
R |
2.2256064742025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138ba1 2142d1 |
Quadratic twists by: -3 17 |