Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960r |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2852586422067225600 = 210 · 38 · 52 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-520923,119744422] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:14688:1] |
Generators of the group modulo torsion |
j |
445138564/81225 |
j-invariant |
L |
4.1798975417464 |
L(r)(E,1)/r! |
Ω |
0.2421077518727 |
Real period |
R |
4.3161541369683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010143 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320bg2 6840m2 |
Quadratic twists by: -3 -19 |