Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bs |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
420157934844480000 = 29 · 313 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45008460147,3675270815038186] |
[a1,a2,a3,a4,a6] |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
4.7113993820152 |
L(r)(E,1)/r! |
Ω |
0.073615615506524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560bv4 23520br4 10080t2 |
Quadratic twists by: -4 -3 -7 |