Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488i |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
2.8649871633189E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3412897,2287212577] |
[a1,a2,a3,a4,a6] |
Generators |
[-327262:852164763:17576] |
Generators of the group modulo torsion |
j |
141420761/9216 |
j-invariant |
L |
6.284109576938 |
L(r)(E,1)/r! |
Ω |
0.17019086840358 |
Real period |
R |
9.2309734886098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488ds1 1734f1 55488bm1 |
Quadratic twists by: -4 8 17 |