Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bc |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1916600000 = -1 · 26 · 55 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281,-2875] |
[a1,a2,a3,a4,a6] |
Generators |
[45500:54575:2197] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
7.6504112226292 |
L(r)(E,1)/r! |
Ω |
0.56394802797061 |
Real period |
R |
6.7829044900613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880c1 20720r1 |
Quadratic twists by: -4 8 |