Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792m |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261264033904896 = 28 · 32 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16012,-64000] |
[a1,a2,a3,a4,a6] |
Generators |
[1254812:29264760:2197] |
Generators of the group modulo torsion |
j |
1001132368/576081 |
j-invariant |
L |
9.5413464912743 |
L(r)(E,1)/r! |
Ω |
0.46173406367495 |
Real period |
R |
10.332079914968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000596 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6072l2 |
Quadratic twists by: -11 |