Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362p |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-312361691450072 = -1 · 23 · 112 · 199 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16960,27064] |
[a1,a2,a3,a4,a6] |
Generators |
[404:23263:64] |
Generators of the group modulo torsion |
j |
94766375/54872 |
j-invariant |
L |
3.0803707785212 |
L(r)(E,1)/r! |
Ω |
0.32593629589167 |
Real period |
R |
4.725418447227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362bn2 4598m2 |
Quadratic twists by: -11 -19 |