Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504s |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-466307055092736 = -1 · 210 · 32 · 116 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16416,656676] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:3885:8] |
Generators of the group modulo torsion |
j |
269676572/257049 |
j-invariant |
L |
8.035928716745 |
L(r)(E,1)/r! |
Ω |
0.34523055533207 |
Real period |
R |
5.8192478838375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752r3 624f4 |
Quadratic twists by: -4 -11 |