Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bo |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1778760000 = 26 · 36 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-657,-6156] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:10:1] [-15:18:1] |
Generators of the group modulo torsion |
j |
672221376/38125 |
j-invariant |
L |
11.031542088549 |
L(r)(E,1)/r! |
Ω |
0.94632908480942 |
Real period |
R |
1.4571492974394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840q1 9760a1 |
Quadratic twists by: -4 -3 |