Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714f |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.0786537448771E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1141542,355203252] |
[a1,a2,a3,a4,a6] |
Generators |
[1401:38085:1] |
Generators of the group modulo torsion |
j |
46753267515625/11591221248 |
j-invariant |
L |
4.2018785477454 |
L(r)(E,1)/r! |
Ω |
0.19121496452957 |
Real period |
R |
1.8312193635633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238n3 306a3 |
Quadratic twists by: -3 13 |