Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cm |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-29255044414554 = -1 · 2 · 311 · 75 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7781,372759] |
[a1,a2,a3,a4,a6] |
Generators |
[478:2511:8] |
Generators of the group modulo torsion |
j |
-14544652121/8168202 |
j-invariant |
L |
10.005797084504 |
L(r)(E,1)/r! |
Ω |
0.61526368530007 |
Real period |
R |
2.0328270064453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138d2 36414cy2 |
Quadratic twists by: -3 17 |