Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
94990987748966400 = 218 · 36 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119425,-5736577] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:2340:1] |
Generators of the group modulo torsion |
j |
718576775407009/362361861225 |
j-invariant |
L |
8.4348283543122 |
L(r)(E,1)/r! |
Ω |
0.27078867299364 |
Real period |
R |
2.5957598397144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006443 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360bq2 21840ba2 |
Quadratic twists by: -4 8 |