Atkin-Lehner |
2+ 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258m |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-388340582784 = -1 · 27 · 3 · 74 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1385,22586] |
[a1,a2,a3,a4,a6] |
Generators |
[534:6212:27] |
Generators of the group modulo torsion |
j |
294119427045527/388340582784 |
j-invariant |
L |
5.4912296933232 |
L(r)(E,1)/r! |
Ω |
0.63984027481341 |
Real period |
R |
4.2910941288625 |
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 |
81774bx2 |
Quadratic twists by: -3 |