Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714v |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-7.2841500317455E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9964039,4694204441] |
[a1,a2,a3,a4,a6] |
j |
31091549545392623/20700995942016 |
j-invariant |
L |
3.8399461772919 |
L(r)(E,1)/r! |
Ω |
0.068570467462751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238d2 3978d2 |
Quadratic twists by: -3 13 |