Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2544b |
Isogeny class |
Conductor |
2544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
416 |
Modular degree for the optimal curve |
Δ |
-325632 = -1 · 211 · 3 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 5 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-32] |
[a1,a2,a3,a4,a6] |
j |
-235298/159 |
j-invariant |
L |
2.3054196421739 |
L(r)(E,1)/r! |
Ω |
1.1527098210869 |
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 |
1272b1 10176s1 7632b1 63600m1 |
Quadratic twists by: -4 8 -3 5 |