Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bd |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2462400000000 = 212 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,-62063] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:36:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
5.5199363043576 |
L(r)(E,1)/r! |
Ω |
0.61554145816507 |
Real period |
R |
2.2419027309789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600br2 91200hp1 9120h2 |
Quadratic twists by: -4 8 5 |