Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ha |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
38547187200000000 = 215 · 311 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154875,-21473750] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
1.9368626976527 |
L(r)(E,1)/r! |
Ω |
0.24210783769876 |
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 |
7650cl1 20400dz1 61200ge1 |
Quadratic twists by: -4 -3 5 |