Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bi |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
456407608039833600 = 225 · 33 · 52 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2074707,-1149766894] |
[a1,a2,a3,a4,a6] |
j |
8930387765009871243/4126949580800 |
j-invariant |
L |
2.0127618387386 |
L(r)(E,1)/r! |
Ω |
0.12579761489473 |
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 |
6030a2 48240bd2 |
Quadratic twists by: -4 -3 |