Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640b |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.6360462004721E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1973216,-1048309920] |
[a1,a2,a3,a4,a6] |
Generators |
[-1163745:3712650:1331] |
Generators of the group modulo torsion |
j |
414875572657613032898/7988506838242875 |
j-invariant |
L |
5.7538248316563 |
L(r)(E,1)/r! |
Ω |
0.12753043899005 |
Real period |
R |
11.27931668477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320w3 |
Quadratic twists by: -4 |