Atkin-Lehner |
3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52275d |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
882140625 = 34 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,-1344] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:20:1] [-90:241:8] |
Generators of the group modulo torsion |
j |
169112377/56457 |
j-invariant |
L |
4.6805722423715 |
L(r)(E,1)/r! |
Ω |
1.190013282157 |
Real period |
R |
3.9332100847565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091a1 |
Quadratic twists by: 5 |