Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
520a |
Isogeny class |
Conductor |
520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
16640 = 28 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
1.8629119108572 |
L(r)(E,1)/r! |
Ω |
3.9206170977189 |
Real period |
R |
0.95031565920635 |
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 |
1040a1 4160d1 4680s1 2600j1 |
Quadratic twists by: -4 8 -3 5 |