Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
119652d |
Isogeny class |
Conductor |
119652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-3152633166941895936 = -1 · 28 · 39 · 139 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -1 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,323748,-47759544] |
[a1,a2,a3,a4,a6] |
Generators |
[941843:50337664:343] |
Generators of the group modulo torsion |
j |
3036991483568/2551369509 |
j-invariant |
L |
4.1398057005902 |
L(r)(E,1)/r! |
Ω |
0.13942521253876 |
Real period |
R |
7.4229861584148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9204b1 |
Quadratic twists by: 13 |