Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550v |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-68080435200 = -1 · 216 · 37 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,355,12197] |
[a1,a2,a3,a4,a6] |
Generators |
[15:136:1] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
6.4856479362017 |
L(r)(E,1)/r! |
Ω |
0.81378976942485 |
Real period |
R |
0.24905264924815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400ey1 2850h1 8550o1 |
Quadratic twists by: -4 -3 5 |