Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200d |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.44120025E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700700,-620144000] |
[a1,a2,a3,a4,a6] |
j |
-5053029696/19140625 |
j-invariant |
L |
2.7172153576715 |
L(r)(E,1)/r! |
Ω |
0.07547820438119 |
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 |
39200e2 78400gq1 7840p4 5600d4 |
Quadratic twists by: -4 8 5 -7 |