Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240m |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7814880000 = -1 · 28 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,668] |
[a1,a2,a3,a4,a6] |
Generators |
[2:225:8] |
Generators of the group modulo torsion |
j |
70575104/41875 |
j-invariant |
L |
5.8180717660015 |
L(r)(E,1)/r! |
Ω |
0.80235131678496 |
Real period |
R |
1.8128192863606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24120g1 5360g1 |
Quadratic twists by: -4 -3 |