Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200dp |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
213504 |
Modular degree for the optimal curve |
Δ |
1221120000 = 212 · 32 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33533,2352363] |
[a1,a2,a3,a4,a6] |
j |
1628973145600/477 |
j-invariant |
L |
4.9303058699569 |
L(r)(E,1)/r! |
Ω |
1.2325762900599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200l1 127200h1 |
Quadratic twists by: -4 5 |