Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cq |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-74884055040000000 = -1 · 226 · 33 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14925,13147250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:3450:1] |
Generators of the group modulo torsion |
j |
212776173/43335680 |
j-invariant |
L |
6.4122097652077 |
L(r)(E,1)/r! |
Ω |
0.26624180864726 |
Real period |
R |
1.5052598707923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350b1 82800cj1 16560x1 |
Quadratic twists by: -4 -3 5 |