Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27328f |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26031996928 = 214 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5873,-171119] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:4:1] [-43:8:1] |
Generators of the group modulo torsion |
j |
1367595682000/1588867 |
j-invariant |
L |
6.9445492544135 |
L(r)(E,1)/r! |
Ω |
0.54539190587682 |
Real period |
R |
3.1832839741401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328o2 1708a2 |
Quadratic twists by: -4 8 |