Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120be |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-347265273600 = -1 · 28 · 36 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,-27214] |
[a1,a2,a3,a4,a6] |
j |
253012016/1860775 |
j-invariant |
L |
3.8166378009741 |
L(r)(E,1)/r! |
Ω |
0.47707972327382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680d2 |
Quadratic twists by: -3 |