Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050n |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-150819760543812500 = -1 · 22 · 56 · 76 · 295 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-557400,161030500] |
[a1,a2,a3,a4,a6] |
j |
-10418796526321/82044596 |
j-invariant |
L |
1.3072408399838 |
L(r)(E,1)/r! |
Ω |
0.32681021482036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2842e2 1450a2 |
Quadratic twists by: 5 -7 |