Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bv |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-6280314880000 = -1 · 220 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4255,-57343] |
[a1,a2,a3,a4,a6] |
Generators |
[679:17760:1] |
Generators of the group modulo torsion |
j |
32492296871/23957500 |
j-invariant |
L |
9.663846659825 |
L(r)(E,1)/r! |
Ω |
0.42239222991321 |
Real period |
R |
2.8598557139613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880q1 20720l1 |
Quadratic twists by: -4 8 |