Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840k |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-2732175360 = -1 · 212 · 37 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,4048] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4:1] [8:-36:1] |
Generators of the group modulo torsion |
j |
-2515456/915 |
j-invariant |
L |
9.9931546558963 |
L(r)(E,1)/r! |
Ω |
1.3520055841877 |
Real period |
R |
0.92391950640724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840j1 29280ba1 |
Quadratic twists by: -4 -3 |