Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950be |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-3074080133250000000 = -1 · 27 · 33 · 59 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,351049,26614298] |
[a1,a2,a3,a4,a6] |
j |
2449619734999627/1573929028224 |
j-invariant |
L |
1.8919459411531 |
L(r)(E,1)/r! |
Ω |
0.15766215599165 |
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 |
82950ch1 |
Quadratic twists by: 5 |