Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616br |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47337409760256 = 210 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102459,12618970] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:4410:1] |
Generators of the group modulo torsion |
j |
1354435492/539 |
j-invariant |
L |
6.8487284809133 |
L(r)(E,1)/r! |
Ω |
0.62587985238859 |
Real period |
R |
2.735640255998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808cm2 8624k2 11088n2 |
Quadratic twists by: -4 -3 -7 |