Atkin-Lehner |
3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2277a |
Isogeny class |
Conductor |
2277 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-119799024543 = -1 · 316 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 0 -2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207,16744] |
[a1,a2,a3,a4,a6] |
j |
-1349232625/164333367 |
j-invariant |
L |
1.7189525699282 |
L(r)(E,1)/r! |
Ω |
0.85947628496408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432cl1 759a1 56925q1 111573p1 |
Quadratic twists by: -4 -3 5 -7 |