Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208i |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6382998494208 = 210 · 32 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5896,-122912] |
[a1,a2,a3,a4,a6] |
j |
188183524/52983 |
j-invariant |
L |
4.4515614355859 |
L(r)(E,1)/r! |
Ω |
0.55644517920596 |
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 |
34104r2 9744f2 |
Quadratic twists by: -4 -7 |