Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
346689923973120 = 218 · 33 · 5 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65345,6344895] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:2496:1] |
Generators of the group modulo torsion |
j |
117713838907729/1322517105 |
j-invariant |
L |
8.4348283543122 |
L(r)(E,1)/r! |
Ω |
0.54157734598728 |
Real period |
R |
1.2978799198572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bq1 21840ba1 |
Quadratic twists by: -4 8 |