Atkin-Lehner |
3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771m |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
927653836821327 = 34 · 7 · 116 · 314 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-368327,85996271] |
[a1,a2,a3,a4,a6] |
Generators |
[3798:32219:8] |
Generators of the group modulo torsion |
j |
3119367718264897/523636407 |
j-invariant |
L |
7.3296396803399 |
L(r)(E,1)/r! |
Ω |
0.48116018070901 |
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 |
651d3 |
Quadratic twists by: -11 |