Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162v |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-1797723412848 = -1 · 24 · 37 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,-64476] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-579:1] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
2.5430764647037 |
L(r)(E,1)/r! |
Ω |
0.3962781676923 |
Real period |
R |
0.80217530002215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054bf1 522k1 |
Quadratic twists by: -3 -11 |