Atkin-Lehner |
2+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650i |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110400 |
Modular degree for the optimal curve |
Δ |
20148312500000 = 25 · 59 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 3 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12075,-467875] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:68:1] |
Generators of the group modulo torsion |
j |
99703702853/10315936 |
j-invariant |
L |
6.6769909624984 |
L(r)(E,1)/r! |
Ω |
0.45847479091808 |
Real period |
R |
2.4272475807334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650z1 |
Quadratic twists by: 5 |