Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850u |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
707175878906250000 = 24 · 34 · 514 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-293151,-45798302] |
[a1,a2,a3,a4,a6] |
Generators |
[-1514:14403:8] |
Generators of the group modulo torsion |
j |
178309998550446049/45259256250000 |
j-invariant |
L |
6.3338552132327 |
L(r)(E,1)/r! |
Ω |
0.209010908212 |
Real period |
R |
3.7879932125419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8970l2 |
Quadratic twists by: 5 |