Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450cm |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-264536250 = -1 · 2 · 3 · 54 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281688,-57567558] |
[a1,a2,a3,a4,a6] |
Generators |
[4458034:166335595:2744] |
Generators of the group modulo torsion |
j |
-3955021329751083025/423258 |
j-invariant |
L |
11.97760225224 |
L(r)(E,1)/r! |
Ω |
0.10361615309288 |
Real period |
R |
12.843988645783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.0000000057393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450a2 |
Quadratic twists by: 5 |