Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cm |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
587174297600 = 214 · 52 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2641,37905] |
[a1,a2,a3,a4,a6] |
Generators |
[1563:61740:1] |
Generators of the group modulo torsion |
j |
124386546256/35838275 |
j-invariant |
L |
10.016245704699 |
L(r)(E,1)/r! |
Ω |
0.85378797341167 |
Real period |
R |
5.8657687953457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880j2 16720bf2 |
Quadratic twists by: -4 8 |