Atkin-Lehner |
3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635j |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-69872203276495785 = -1 · 35 · 5 · 119 · 293 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158029,27307157] |
[a1,a2,a3,a4,a6] |
j |
-185095547099/29632635 |
j-invariant |
L |
3.3426568639427 |
L(r)(E,1)/r! |
Ω |
0.33426568656177 |
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 |
52635k1 |
Quadratic twists by: -11 |