Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240f |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-48481200 = -1 · 24 · 33 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42,351] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
-18966528/112225 |
j-invariant |
L |
5.8657675016172 |
L(r)(E,1)/r! |
Ω |
1.7353412529098 |
Real period |
R |
1.6900904913689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120a1 48240c1 |
Quadratic twists by: -4 -3 |