Atkin-Lehner |
3+ 5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27255a |
Isogeny class |
Conductor |
27255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4828141485 = 312 · 5 · 23 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48468,4086927] |
[a1,a2,a3,a4,a6] |
Generators |
[3326:58211:8] |
Generators of the group modulo torsion |
j |
12592240519595268169/4828141485 |
j-invariant |
L |
4.014426234024 |
L(r)(E,1)/r! |
Ω |
1.1103292635395 |
Real period |
R |
7.2310554460698 |
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 |
81765m4 |
Quadratic twists by: -3 |