Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gl |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82252800 |
Modular degree for the optimal curve |
Δ |
7.8568877863713E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5549680875,84468285076250] |
[a1,a2,a3,a4,a6] |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
2.1166213477749 |
L(r)(E,1)/r! |
Ω |
0.021166213502892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650ch1 20400cn1 61200fn1 |
Quadratic twists by: -4 -3 5 |