Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bl |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-3457909440000000 = -1 · 212 · 311 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211512,37548016] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:8100:1] [-100:7596:1] |
Generators of the group modulo torsion |
j |
-350462271384064/1158046875 |
j-invariant |
L |
11.418325510853 |
L(r)(E,1)/r! |
Ω |
0.44714995414874 |
Real period |
R |
0.45599617744831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840bk1 29280k1 |
Quadratic twists by: -4 -3 |