Atkin-Lehner |
5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82075b |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-197062075 = -1 · 52 · 76 · 67 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-653,-6681] |
[a1,a2,a3,a4,a6] |
j |
-10485760/67 |
j-invariant |
L |
0.94395226374248 |
L(r)(E,1)/r! |
Ω |
0.47197611993977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82075k1 1675b1 |
Quadratic twists by: 5 -7 |