Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280di |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15173222400 = 216 · 33 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28707,-1872094] |
[a1,a2,a3,a4,a6] |
j |
68971442301/400 |
j-invariant |
L |
2.9342204560076 |
L(r)(E,1)/r! |
Ω |
0.3667775570022 |
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 |
4410e2 35280cz2 35280cx2 |
Quadratic twists by: -4 -3 -7 |