Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880x |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-797542784640000 = -1 · 210 · 32 · 54 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4600,1362500] |
[a1,a2,a3,a4,a6] |
j |
-10514573445604/778850375625 |
j-invariant |
L |
3.3201458492329 |
L(r)(E,1)/r! |
Ω |
0.41501823072337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440i3 |
Quadratic twists by: -4 |