Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156z |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
1114482927439478016 = 28 · 312 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2708328,1714784596] |
[a1,a2,a3,a4,a6] |
Generators |
[-358701:20010101:343] |
Generators of the group modulo torsion |
j |
41675382784/21141 |
j-invariant |
L |
6.2956377357878 |
L(r)(E,1)/r! |
Ω |
0.27148181112184 |
Real period |
R |
11.594953101668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052l1 51156i1 |
Quadratic twists by: -3 -7 |