Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82075f |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
2070013934078125 = 56 · 711 · 67 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 0 -1 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97413,11487692] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:4884:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
3.0497077339016 |
L(r)(E,1)/r! |
Ω |
0.46473789452848 |
Real period |
R |
1.640552536734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283a1 11725c1 |
Quadratic twists by: 5 -7 |