Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560z |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-527166608693760 = -1 · 29 · 36 · 5 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16317,-759402] |
[a1,a2,a3,a4,a6] |
Generators |
[498:5643:8] |
Generators of the group modulo torsion |
j |
10941048/12005 |
j-invariant |
L |
6.0479249608321 |
L(r)(E,1)/r! |
Ω |
0.28135557768018 |
Real period |
R |
5.3739159974724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dn2 7840w4 10080y4 |
Quadratic twists by: -4 -3 -7 |