Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41334a |
Isogeny class |
Conductor |
41334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.3609422748812E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97906611,-372904728435] |
[a1,a2,a3,a4,a6] |
Generators |
[-114758786874126623457414916538926278659161817:112631158036292481651152759507528279660942161:20152861135029951920725353940858543124797] |
Generators of the group modulo torsion |
j |
555209567459/23328 |
j-invariant |
L |
3.3000509212267 |
L(r)(E,1)/r! |
Ω |
0.047995182180363 |
Real period |
R |
68.757962180877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124002q2 41334f2 |
Quadratic twists by: -3 -83 |