Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dq |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-145676521270000 = -1 · 24 · 54 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 1 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547025,155726275] |
[a1,a2,a3,a4,a6] |
Generators |
[-750:12005:1] [370:1995:1] |
Generators of the group modulo torsion |
j |
-1810277845777324800/14567652127 |
j-invariant |
L |
9.6860582724518 |
L(r)(E,1)/r! |
Ω |
0.52073383239322 |
Real period |
R |
0.34445898908754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300q1 53200bl1 |
Quadratic twists by: -4 5 |