Atkin-Lehner |
2+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41536f |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-29241344 = -1 · 212 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 -3 11- 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-441,3431] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:44:1] [10:11:1] |
Generators of the group modulo torsion |
j |
-2320940224/7139 |
j-invariant |
L |
9.3781028315358 |
L(r)(E,1)/r! |
Ω |
2.1040359077886 |
Real period |
R |
1.1142992851051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536d1 20768b1 |
Quadratic twists by: -4 8 |