Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bb |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6840000000000 = 212 · 32 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23633,-1384863] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:75:1] |
Generators of the group modulo torsion |
j |
22809653056/106875 |
j-invariant |
L |
5.3735651310196 |
L(r)(E,1)/r! |
Ω |
0.38515963541418 |
Real period |
R |
1.7439409003916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600l3 91200co1 9120j2 |
Quadratic twists by: -4 8 5 |