Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664ci |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
106235685126144 = 214 · 313 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543891,154388050] |
[a1,a2,a3,a4,a6] |
Generators |
[407:666:1] |
Generators of the group modulo torsion |
j |
5958978974685073/35578116 |
j-invariant |
L |
5.9263772414022 |
L(r)(E,1)/r! |
Ω |
0.52983418598269 |
Real period |
R |
2.796335814408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10458g1 27888bi1 |
Quadratic twists by: -4 -3 |