Atkin-Lehner |
3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1113b |
Isogeny class |
Conductor |
1113 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56 |
Modular degree for the optimal curve |
Δ |
-7791 = -1 · 3 · 72 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -2 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
103823/7791 |
j-invariant |
L |
1.2614945533195 |
L(r)(E,1)/r! |
Ω |
1.981757894962 |
Real period |
R |
1.2731066257149 |
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 |
17808z1 71232bh1 3339b1 27825p1 |
Quadratic twists by: -4 8 -3 5 |