Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
84987c |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82176 |
Modular degree for the optimal curve |
Δ |
92375684793 = 39 · 72 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4484,115750] |
[a1,a2,a3,a4,a6] |
Generators |
[35:10:1] |
Generators of the group modulo torsion |
j |
506452159611/4693171 |
j-invariant |
L |
4.9822791452407 |
L(r)(E,1)/r! |
Ω |
1.0760751578804 |
Real period |
R |
2.3150237747228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84987e1 |
Quadratic twists by: -3 |