Atkin-Lehner |
2+ 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bg |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
819719792640000 = 214 · 39 · 54 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259929,51053485] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:8687:1] |
Generators of the group modulo torsion |
j |
2664166306836455569/1124444160000 |
j-invariant |
L |
5.2376400402585 |
L(r)(E,1)/r! |
Ω |
0.49394416018741 |
Real period |
R |
0.66273180028068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430u1 |
Quadratic twists by: -3 |