Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840y |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
281499500880 = 24 · 36 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3042,-59319] |
[a1,a2,a3,a4,a6] |
Generators |
[62335:796328:343] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
8.6491478923752 |
L(r)(E,1)/r! |
Ω |
0.64656732331898 |
Real period |
R |
6.6885129981032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bw1 6760g1 360e1 |
Quadratic twists by: -4 -3 13 |