Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864s |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-97902370185984 = -1 · 28 · 36 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,476084] |
[a1,a2,a3,a4,a6] |
Generators |
[14:686:1] [-38:666:1] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
8.8100332843451 |
L(r)(E,1)/r! |
Ω |
0.48075242766132 |
Real period |
R |
0.57267217864106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bl1 5096k1 6552i1 |
Quadratic twists by: -4 -3 -7 |