Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240c |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-35342794800 = -1 · 24 · 39 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378,-9477] |
[a1,a2,a3,a4,a6] |
j |
-18966528/112225 |
j-invariant |
L |
0.96926327602379 |
L(r)(E,1)/r! |
Ω |
0.48463163794669 |
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 |
24120n1 48240f1 |
Quadratic twists by: -4 -3 |