Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cj |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1062892497600 = 26 · 38 · 52 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58163,5413331] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:3322:1] [-135:3352:1] |
Generators of the group modulo torsion |
j |
29848985881050601/1458014400 |
j-invariant |
L |
15.191293270403 |
L(r)(E,1)/r! |
Ω |
0.82368535349793 |
Real period |
R |
0.76846158572389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610w2 |
Quadratic twists by: -3 |