Atkin-Lehner |
5- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7285f |
Isogeny class |
Conductor |
7285 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-182125 = -1 · 53 · 31 · 47 |
Discriminant |
Eigenvalues |
-1 0 5- 1 6 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,16] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
63521199/182125 |
j-invariant |
L |
2.9439759615683 |
L(r)(E,1)/r! |
Ω |
2.2506245533923 |
Real period |
R |
0.43602355579195 |
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 |
116560s1 65565j1 36425g1 |
Quadratic twists by: -4 -3 5 |