Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bh |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-101885378560 = -1 · 215 · 5 · 75 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1119,-4961] |
[a1,a2,a3,a4,a6] |
Generators |
[47:392:1] |
Generators of the group modulo torsion |
j |
4724717752/3109295 |
j-invariant |
L |
3.934931873762 |
L(r)(E,1)/r! |
Ω |
0.60555744356652 |
Real period |
R |
0.32490161886845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880w1 41440d1 |
Quadratic twists by: -4 8 |