Atkin-Lehner |
2+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31648a |
Isogeny class |
Conductor |
31648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-4050944 = -1 · 212 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 1 2 2 1 5 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,95] |
[a1,a2,a3,a4,a6] |
j |
-140608/989 |
j-invariant |
L |
4.2500833305249 |
L(r)(E,1)/r! |
Ω |
2.1250416652619 |
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 |
31648b1 63296m1 |
Quadratic twists by: -4 8 |