Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bi |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
170106048 = 26 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,-22678] |
[a1,a2,a3,a4,a6] |
Generators |
[77:570:1] |
Generators of the group modulo torsion |
j |
5743032277312/2657907 |
j-invariant |
L |
8.9161411942815 |
L(r)(E,1)/r! |
Ω |
0.76814844889458 |
Real period |
R |
3.8691050786101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104a1 27552b4 |
Quadratic twists by: -4 8 |