Atkin-Lehner |
3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325a |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-9984375 = -1 · 32 · 56 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
1.8562338512682 |
L(r)(E,1)/r! |
Ω |
1.7424481168979 |
Real period |
R |
0.53265111117711 |
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 |
85200dc1 15975m1 213a1 |
Quadratic twists by: -4 -3 5 |