Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224l |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-912091954176 = -1 · 210 · 39 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4131,-112050] |
[a1,a2,a3,a4,a6] |
Generators |
[913146:310446:12167] |
Generators of the group modulo torsion |
j |
-386810316/45253 |
j-invariant |
L |
5.5315788955558 |
L(r)(E,1)/r! |
Ω |
0.29580859908059 |
Real period |
R |
9.3499291649379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448b1 55224b1 |
Quadratic twists by: -4 -3 |