Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400jw |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-322828856000000000 = -1 · 212 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,171500,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
3.2799233361192 |
L(r)(E,1)/r! |
Ω |
0.18221796283022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400jw2 39200co1 78400jz2 78400jy2 |
Quadratic twists by: -4 8 5 -7 |