Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656a |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
20333376 = 26 · 33 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:10:1] |
Generators of the group modulo torsion |
j |
21024576/11767 |
j-invariant |
L |
7.2127214476214 |
L(r)(E,1)/r! |
Ω |
1.7797196951472 |
Real period |
R |
2.0263644512956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82656b1 82656y1 |
Quadratic twists by: -4 -3 |