Atkin-Lehner |
2- 3- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55476f |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-637060421232 = -1 · 24 · 36 · 233 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4233,112745] |
[a1,a2,a3,a4,a6] |
Generators |
[65:335:1] |
Generators of the group modulo torsion |
j |
-719152519936/54617663 |
j-invariant |
L |
8.812393255612 |
L(r)(E,1)/r! |
Ω |
0.89472522398121 |
Real period |
R |
1.6415455492754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6164b1 |
Quadratic twists by: -3 |