Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720l |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
565760000 = 212 · 54 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1145,15257] |
[a1,a2,a3,a4,a6] |
j |
40565745856/138125 |
j-invariant |
L |
3.2889197357372 |
L(r)(E,1)/r! |
Ω |
1.6444598649292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720n2 35360c1 |
Quadratic twists by: -4 8 |