Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325m |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5552071584099609375 = 34 · 59 · 296 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3249513,-2253133344] |
[a1,a2,a3,a4,a6] |
Generators |
[-1040:2207:1] |
Generators of the group modulo torsion |
j |
1942891363173396797/2842660651059 |
j-invariant |
L |
2.3040455688859 |
L(r)(E,1)/r! |
Ω |
0.11245613284223 |
Real period |
R |
2.5610494147463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999997626509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325y2 |
Quadratic twists by: 5 |