Atkin-Lehner |
2+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22646c |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
521664 |
Modular degree for the optimal curve |
Δ |
28654414492860416 = 219 · 138 · 67 |
Discriminant |
Eigenvalues |
2+ 2 3 3 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2361271,1395576213] |
[a1,a2,a3,a4,a6] |
Generators |
[16883839636581:-24596672478537:19400056703] |
Generators of the group modulo torsion |
j |
1784903253243097/35127296 |
j-invariant |
L |
7.2052725508801 |
L(r)(E,1)/r! |
Ω |
0.34393498854854 |
Real period |
R |
20.949518923002 |
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 |
22646l1 |
Quadratic twists by: 13 |