Atkin-Lehner |
2+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1978a |
Isogeny class |
Conductor |
1978 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-70851263744 = -1 · 28 · 235 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 2 -5 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16,-12800] |
[a1,a2,a3,a4,a6] |
j |
410172407/70851263744 |
j-invariant |
L |
1.0071174546412 |
L(r)(E,1)/r! |
Ω |
0.5035587273206 |
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 |
15824i1 63296c1 17802u1 49450q1 |
Quadratic twists by: -4 8 -3 5 |