Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bu |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-1815403520 = -1 · 210 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60865,5759383] |
[a1,a2,a3,a4,a6] |
Generators |
[3774:1295:27] |
Generators of the group modulo torsion |
j |
-24351951486578944/1772855 |
j-invariant |
L |
8.4643260516399 |
L(r)(E,1)/r! |
Ω |
1.1292476257322 |
Real period |
R |
2.4985148978536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880o1 20720a1 |
Quadratic twists by: -4 8 |