Atkin-Lehner |
3+ 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845a |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-6052201875 = -1 · 33 · 54 · 173 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 0 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1608,25099] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:212:1] [19:-38:1] |
Generators of the group modulo torsion |
j |
-17030134628352/224155625 |
j-invariant |
L |
7.3191086660468 |
L(r)(E,1)/r! |
Ω |
1.3485844769563 |
Real period |
R |
0.45227105353244 |
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 |
55845b1 |
Quadratic twists by: -3 |