Atkin-Lehner |
3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7791g |
Isogeny class |
Conductor |
7791 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-916603359 = -1 · 3 · 78 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48,1455] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
103823/7791 |
j-invariant |
L |
3.4676102176586 |
L(r)(E,1)/r! |
Ω |
1.2016325469616 |
Real period |
R |
2.8857492470779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656cg1 23373g1 1113b1 |
Quadratic twists by: -4 -3 -7 |