Atkin-Lehner |
2+ 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202a |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
4.6125775675135E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64582032,199776759184] |
[a1,a2,a3,a4,a6] |
Generators |
[4452:19744:1] |
Generators of the group modulo torsion |
j |
1103303683652799545142190875/17083620620420472976 |
j-invariant |
L |
5.8104720098813 |
L(r)(E,1)/r! |
Ω |
0.1524280910144 |
Real period |
R |
0.95298576052984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202t2 |
Quadratic twists by: -3 |