Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450h |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45262207031250 = -1 · 2 · 3 · 512 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5350,288750] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-675:1] |
Generators of the group modulo torsion |
j |
1083523132511/2896781250 |
j-invariant |
L |
4.1567206441126 |
L(r)(E,1)/r! |
Ω |
0.44801205078972 |
Real period |
R |
1.1597680909389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999973216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490ba2 |
Quadratic twists by: 5 |