Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ef |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
278228041039872 = 215 · 38 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28289,1636767] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1176:1] [-131:1764:1] |
Generators of the group modulo torsion |
j |
649461896/72171 |
j-invariant |
L |
12.092449183285 |
L(r)(E,1)/r! |
Ω |
0.53202723627434 |
Real period |
R |
0.71028137510267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bf4 51744by3 2112f3 |
Quadratic twists by: -4 8 -7 |