Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156y |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1528783165211904 = -1 · 28 · 36 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16023,2036734] |
[a1,a2,a3,a4,a6] |
Generators |
[-9870:209524:125] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
5.5977062866031 |
L(r)(E,1)/r! |
Ω |
0.41791604829142 |
Real period |
R |
6.697165985208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684d1 7308e1 |
Quadratic twists by: -3 -7 |