Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36652c |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2087042435632 = -1 · 24 · 78 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,88837] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1911:8] |
Generators of the group modulo torsion |
j |
-24772608/22627 |
j-invariant |
L |
6.6394678362662 |
L(r)(E,1)/r! |
Ω |
0.75438400718866 |
Real period |
R |
2.9337259596339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36652g1 |
Quadratic twists by: -7 |