Atkin-Lehner |
2- 3+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22692c |
Isogeny class |
Conductor |
22692 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-11636832199536 = -1 · 24 · 38 · 313 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 2 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5650,-16767] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4941:1] |
Generators of the group modulo torsion |
j |
1246442372697344/727302012471 |
j-invariant |
L |
5.3880386970209 |
L(r)(E,1)/r! |
Ω |
0.42234438384552 |
Real period |
R |
1.0631210972039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90768r1 68076d1 |
Quadratic twists by: -4 -3 |