Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ew |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
6830208 |
Modular degree for the optimal curve |
Δ |
4.2704852497593E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15920738,-24254433169] |
[a1,a2,a3,a4,a6] |
Generators |
[-2139:5443:1] |
Generators of the group modulo torsion |
j |
123865101442627825/1185257981952 |
j-invariant |
L |
7.8107379044604 |
L(r)(E,1)/r! |
Ω |
0.075623996401261 |
Real period |
R |
2.3473603476425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bu1 80850hb1 |
Quadratic twists by: 5 -7 |