Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080s |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
256256000 = 211 · 53 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5338667,4747854074] |
[a1,a2,a3,a4,a6] |
Generators |
[1343:570:1] |
Generators of the group modulo torsion |
j |
8216602123265632096002/125125 |
j-invariant |
L |
6.8967292049368 |
L(r)(E,1)/r! |
Ω |
0.612117339954 |
Real period |
R |
1.8778341878462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999984354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040p4 |
Quadratic twists by: -4 |