Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
60200f |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
52736 |
Modular degree for the optimal curve |
Δ |
-765811424000 = -1 · 28 · 53 · 7 · 434 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -1 -5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1127,39883] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:86:1] |
Generators of the group modulo torsion |
j |
4942652416/23931607 |
j-invariant |
L |
5.7495221340692 |
L(r)(E,1)/r! |
Ω |
0.64494623699141 |
Real period |
R |
0.27858533995895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400r1 60200s1 |
Quadratic twists by: -4 5 |