Atkin-Lehner |
3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771m |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16548396586021377 = 316 · 7 · 116 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156577,-23043121] |
[a1,a2,a3,a4,a6] |
Generators |
[3734:17083:8] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
7.3296396803399 |
L(r)(E,1)/r! |
Ω |
0.2405800903545 |
Real period |
R |
3.8083158037224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651d4 |
Quadratic twists by: -11 |