Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1608482421875000000 = -1 · 26 · 515 · 77 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-643533,208075687] |
[a1,a2,a3,a4,a6] |
j |
-250523582464/13671875 |
j-invariant |
L |
2.1084255849453 |
L(r)(E,1)/r! |
Ω |
0.26355320036458 |
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 |
78400hn3 1225a3 15680j3 11200c3 |
Quadratic twists by: -4 8 5 -7 |