Atkin-Lehner |
2- 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822x |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
25904630819192832 = 218 · 310 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-327605,71838029] |
[a1,a2,a3,a4,a6] |
Generators |
[27:7924:1] |
Generators of the group modulo torsion |
j |
5333920094412015625/35534473003008 |
j-invariant |
L |
11.180363050698 |
L(r)(E,1)/r! |
Ω |
0.37854570022266 |
Real period |
R |
0.8204178257735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274q1 |
Quadratic twists by: -3 |