Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
455a |
Isogeny class |
Conductor |
455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-22216796875 = -1 · 512 · 7 · 13 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,160,-7169] |
[a1,a2,a3,a4,a6] |
Generators |
[6522:30553:216] |
Generators of the group modulo torsion |
j |
451394172711/22216796875 |
j-invariant |
L |
2.1253916593497 |
L(r)(E,1)/r! |
Ω |
0.57751867607437 |
Real period |
R |
7.3604257226689 |
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 |
7280q4 29120r3 4095j4 2275d4 |
Quadratic twists by: -4 8 -3 5 |