Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2262b |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-25323976704 = -1 · 211 · 3 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 2 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-173,-7779] |
[a1,a2,a3,a4,a6] |
j |
-577801395289/25323976704 |
j-invariant |
L |
1.0439421647685 |
L(r)(E,1)/r! |
Ω |
0.52197108238427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18096be1 72384bc1 6786s1 56550bt1 |
Quadratic twists by: -4 8 -3 5 |