Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400p |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
527360 |
Modular degree for the optimal curve |
Δ |
-11965803500000000 = -1 · 28 · 59 · 7 · 434 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 1 5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28167,-4929037] |
[a1,a2,a3,a4,a6] |
Generators |
[161096:3036875:512] |
Generators of the group modulo torsion |
j |
4942652416/23931607 |
j-invariant |
L |
8.1117231175968 |
L(r)(E,1)/r! |
Ω |
0.2022450074148 |
Real period |
R |
5.0135496517064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200s1 120400r1 |
Quadratic twists by: -4 5 |