Atkin-Lehner |
2+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536c |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-7310336 = -1 · 210 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 11+ 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,131] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-2:11:1] |
Generators of the group modulo torsion |
j |
2048/7139 |
j-invariant |
L |
8.7364619263002 |
L(r)(E,1)/r! |
Ω |
1.8488706618193 |
Real period |
R |
1.1813241059415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536r1 5192b1 |
Quadratic twists by: -4 8 |