Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616x |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2294949888 = 211 · 33 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,8722] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:132:1] |
Generators of the group modulo torsion |
j |
3203226/121 |
j-invariant |
L |
8.5961758299292 |
L(r)(E,1)/r! |
Ω |
1.4457409844214 |
Real period |
R |
0.74323270241449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808f2 77616n2 77616y2 |
Quadratic twists by: -4 -3 -7 |