Atkin-Lehner |
2- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
11224a |
Isogeny class |
Conductor |
11224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1369328 = -1 · 24 · 23 · 612 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 6 -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] [16:61:1] |
Generators of the group modulo torsion |
j |
-562432/85583 |
j-invariant |
L |
4.7599072828242 |
L(r)(E,1)/r! |
Ω |
1.2030044650661 |
Real period |
R |
0.98917074313665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22448a1 89792c1 101016e1 |
Quadratic twists by: -4 8 -3 |