Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182w |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
Δ |
970176891543552 = 213 · 310 · 72 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-482759,129056265] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4405:1] |
Generators of the group modulo torsion |
j |
12442707884599182506737/970176891543552 |
j-invariant |
L |
9.0358469584931 |
L(r)(E,1)/r! |
Ω |
0.47179637126151 |
Real period |
R |
0.14732312348966 |
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 |
84546bb2 |
Quadratic twists by: -3 |