Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2262a |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-3763968 = -1 · 28 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67,205] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-34043726521/3763968 |
j-invariant |
L |
1.3273969031526 |
L(r)(E,1)/r! |
Ω |
2.4200973268373 |
Real period |
R |
0.54848905803606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18096bc1 72384bn1 6786m1 56550ca1 |
Quadratic twists by: -4 8 -3 5 |