Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640h |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34637120000 = 29 · 54 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6776,-216776] |
[a1,a2,a3,a4,a6] |
Generators |
[374:7050:1] |
Generators of the group modulo torsion |
j |
67210640570312/67650625 |
j-invariant |
L |
3.8246450642651 |
L(r)(E,1)/r! |
Ω |
0.52623182492105 |
Real period |
R |
1.8169962757668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640b2 105280bm2 |
Quadratic twists by: -4 8 |