Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400cd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8780800 = -1 · 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 1 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,1457] |
[a1,a2,a3,a4,a6] |
j |
-160000 |
j-invariant |
L |
4.6593366119806 |
L(r)(E,1)/r! |
Ω |
2.3296682955494 |
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 |
78400im1 4900l1 78400fl1 78400cr1 |
Quadratic twists by: -4 8 5 -7 |