Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400iu |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2951578112000000 = 215 · 56 · 78 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,-1817537] |
[a1,a2,a3,a4,a6] |
Generators |
[737:19208:1] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
4.3422304839992 |
L(r)(E,1)/r! |
Ω |
0.34729514261996 |
Real period |
R |
3.1257495078512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400ih2 39200cc2 3136z2 11200cb2 |
Quadratic twists by: -4 8 5 -7 |