Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336u |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
24800705656272 = 24 · 310 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8055,138834] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:378:1] [-69:609:1] |
Generators of the group modulo torsion |
j |
3612886171211776/1550044103517 |
j-invariant |
L |
10.054240698943 |
L(r)(E,1)/r! |
Ω |
0.60630499579356 |
Real period |
R |
0.41457025625286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672f1 |
Quadratic twists by: -4 |