Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7293b |
Isogeny class |
Conductor |
7293 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.9197043088272E+29 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1632751712,5569387382402] |
[a1,a2,a3,a4,a6] |
Generators |
[522208049303492166:241054466078032812002:2541625591023] |
Generators of the group modulo torsion |
j |
481375691534989591168533139109375/291970430882721534414299079537 |
j-invariant |
L |
2.2277651663605 |
L(r)(E,1)/r! |
Ω |
0.018911649435282 |
Real period |
R |
29.449641264558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688w2 21879j2 80223g2 94809d2 |
Quadratic twists by: -4 -3 -11 13 |