Atkin-Lehner |
2+ 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336g |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2524722939648 = -1 · 28 · 35 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,772,-75744] |
[a1,a2,a3,a4,a6] |
Generators |
[40:144:1] |
Generators of the group modulo torsion |
j |
198505694000/9862198983 |
j-invariant |
L |
8.8379171815561 |
L(r)(E,1)/r! |
Ω |
0.38923656054041 |
Real period |
R |
2.270577350012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672a1 |
Quadratic twists by: -4 |