Atkin-Lehner |
3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
711b |
Isogeny class |
Conductor |
711 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-1554957 = -1 · 39 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 0 -1 1 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25,28] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
1.4841485904609 |
L(r)(E,1)/r! |
Ω |
1.7397204637107 |
Real period |
R |
0.42654800625133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11376i1 45504b1 711a1 17775b1 |
Quadratic twists by: -4 8 -3 5 |