Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ey |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-575658150912000 = -1 · 213 · 39 · 53 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122187,16479866] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:520:1] [637:14040:1] |
Generators of the group modulo torsion |
j |
-2365581049/6750 |
j-invariant |
L |
11.872505633925 |
L(r)(E,1)/r! |
Ω |
0.51885961941567 |
Real period |
R |
0.15890224010776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bp1 40560bj1 121680do1 |
Quadratic twists by: -4 -3 13 |