Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20064p |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
87759936 = 26 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457082,-118790880] |
[a1,a2,a3,a4,a6] |
Generators |
[190382592477857875:-21465226736451743558:14932369140625] |
Generators of the group modulo torsion |
j |
165016376059269518272/1371249 |
j-invariant |
L |
5.454454698391 |
L(r)(E,1)/r! |
Ω |
0.1836119511901 |
Real period |
R |
29.706425224705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20064h1 40128z1 60192i1 |
Quadratic twists by: -4 8 -3 |