Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008n |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83288798208 = 210 · 38 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,-142272] |
[a1,a2,a3,a4,a6] |
j |
15258789062500/81336717 |
j-invariant |
L |
2.2486622477884 |
L(r)(E,1)/r! |
Ω |
0.56216555614366 |
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 |
42504r2 |
Quadratic twists by: -4 |