Atkin-Lehner |
2+ 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670y |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
47284224862500 = 22 · 310 · 55 · 29 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14454,584928] |
[a1,a2,a3,a4,a6] |
Generators |
[-1074:2967:8] [-93:1104:1] |
Generators of the group modulo torsion |
j |
458117873455969/64861762500 |
j-invariant |
L |
8.0714267566868 |
L(r)(E,1)/r! |
Ω |
0.61181030646622 |
Real period |
R |
0.65963474892262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890bd1 |
Quadratic twists by: -3 |