Atkin-Lehner |
2+ 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258k |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-467697757011408 = -1 · 24 · 32 · 7 · 11 · 596 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6266,1057340] |
[a1,a2,a3,a4,a6] |
Generators |
[276:4375:1] |
Generators of the group modulo torsion |
j |
-27201649935993625/467697757011408 |
j-invariant |
L |
4.9981718272247 |
L(r)(E,1)/r! |
Ω |
0.44375974108614 |
Real period |
R |
1.8772064266846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bu2 |
Quadratic twists by: -3 |