Atkin-Lehner |
5- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525q |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-32088875 = -1 · 53 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ -2 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,62,178] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [2:-18:1] |
Generators of the group modulo torsion |
j |
207474688/256711 |
j-invariant |
L |
4.0632774291396 |
L(r)(E,1)/r! |
Ω |
1.3940775047611 |
Real period |
R |
0.3643338888349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525ba1 |
Quadratic twists by: 5 |