Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650f |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-748831230843750000 = -1 · 24 · 33 · 59 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-991275,-382561875] |
[a1,a2,a3,a4,a6] |
j |
-6894246873502147249/47925198774000 |
j-invariant |
L |
0.90744823906226 |
L(r)(E,1)/r! |
Ω |
0.075620686588522 |
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 |
37200ct3 13950cp3 930n3 |
Quadratic twists by: -4 -3 5 |