Atkin-Lehner |
3- 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59409d |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
774752769 = 36 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,3476] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:84:1] |
Generators of the group modulo torsion |
j |
13430356633/1062761 |
j-invariant |
L |
2.3026531913598 |
L(r)(E,1)/r! |
Ω |
1.5593585431679 |
Real period |
R |
0.73833346455476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6601a1 |
Quadratic twists by: -3 |