Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bx |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1373552640 = -1 · 214 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 -6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,2592] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
4.9295277501807 |
L(r)(E,1)/r! |
Ω |
1.415336676808 |
Real period |
R |
1.7414682423822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240el1 4140i1 7360g1 |
Quadratic twists by: -4 8 -3 |