Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248f |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170840521628672 = 210 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258328,50446596] |
[a1,a2,a3,a4,a6] |
j |
12576878500/1127 |
j-invariant |
L |
1.0938736844944 |
L(r)(E,1)/r! |
Ω |
0.54693684188637 |
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 |
29624j2 2576e2 |
Quadratic twists by: -4 -23 |