Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120j |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-122107500000000 = -1 · 28 · 36 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36252,2709396] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:2250:1] |
Generators of the group modulo torsion |
j |
-28232681739264/654296875 |
j-invariant |
L |
5.8844443249105 |
L(r)(E,1)/r! |
Ω |
0.58782186342144 |
Real period |
R |
0.12513238897452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48240w1 2680c1 120600bw1 |
Quadratic twists by: -4 -3 5 |