Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240b |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
839680 |
Modular degree for the optimal curve |
Δ |
2095244380121350400 = 28 · 52 · 419 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-666236,197162560] |
[a1,a2,a3,a4,a6] |
Generators |
[364:1736:1] |
Generators of the group modulo torsion |
j |
390224/25 |
j-invariant |
L |
2.8360436097112 |
L(r)(E,1)/r! |
Ω |
0.25650188694342 |
Real period |
R |
5.5283094471736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67240a1 |
Quadratic twists by: 41 |