Atkin-Lehner |
2- 3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320co |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-181029600000 = -1 · 28 · 33 · 55 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2005,39503] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:150:1] [-14:255:1] |
Generators of the group modulo torsion |
j |
-3483721793536/707146875 |
j-invariant |
L |
13.247828171298 |
L(r)(E,1)/r! |
Ω |
0.97010157599192 |
Real period |
R |
0.22760207964669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29580a1 |
Quadratic twists by: -4 |