Atkin-Lehner |
2+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960j |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1967025848320 = -1 · 215 · 5 · 13 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1492,63728] |
[a1,a2,a3,a4,a6] |
Generators |
[8:276:1] |
Generators of the group modulo torsion |
j |
11209345272/60028865 |
j-invariant |
L |
4.1875423843216 |
L(r)(E,1)/r! |
Ω |
0.59831481127237 |
Real period |
R |
3.4994474130661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998741722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960f3 64480k2 |
Quadratic twists by: -4 8 |