Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258z |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
19298664 = 23 · 32 · 7 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3289,71231] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-14:1] |
Generators of the group modulo torsion |
j |
3934808359097617/19298664 |
j-invariant |
L |
5.9816201376906 |
L(r)(E,1)/r! |
Ω |
1.9197215418181 |
Real period |
R |
1.0386263506435 |
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 |
81774be2 |
Quadratic twists by: -3 |