Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950j |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2986200 = -1 · 23 · 33 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,85] |
[a1,a2,a3,a4,a6] |
j |
397535/119448 |
j-invariant |
L |
1.9650185216225 |
L(r)(E,1)/r! |
Ω |
1.9650185725032 |
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 |
82950cu1 |
Quadratic twists by: 5 |