Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864c |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
50662187264 = 28 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2084,-35684] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:40:1] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
1.836501603231 |
L(r)(E,1)/r! |
Ω |
0.70879455145446 |
Real period |
R |
2.5910210815221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998799047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55432c1 656b1 |
Quadratic twists by: -4 13 |