Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bw |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9383112000000 = -1 · 29 · 32 · 56 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,147288] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:324:1] [-38:342:1] |
Generators of the group modulo torsion |
j |
-3112136/1172889 |
j-invariant |
L |
9.8084791495933 |
L(r)(E,1)/r! |
Ω |
0.59171272445637 |
Real period |
R |
2.0720526076664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600c2 91200n3 1824c4 |
Quadratic twists by: -4 8 5 |