Atkin-Lehner |
2- 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128q |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
21024768 = 212 · 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 -2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-741,8013] |
[a1,a2,a3,a4,a6] |
Generators |
[444:55:27] |
Generators of the group modulo torsion |
j |
11000295424/5133 |
j-invariant |
L |
8.199079595254 |
L(r)(E,1)/r! |
Ω |
2.122796646335 |
Real period |
R |
3.8623952092655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133c1 |
Quadratic twists by: -4 |