Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469s |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2309892940593 = 32 · 73 · 176 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7- 2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9700,-361147] |
[a1,a2,a3,a4,a6] |
Generators |
[2627212:8389163:21952] |
Generators of the group modulo torsion |
j |
294225583390831/6734381751 |
j-invariant |
L |
10.87559104544 |
L(r)(E,1)/r! |
Ω |
0.48174502673661 |
Real period |
R |
11.287704534512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77469n2 |
Quadratic twists by: -7 |