Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872be |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1459948653276E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3470408,1880154996] |
[a1,a2,a3,a4,a6] |
Generators |
[624404:25097982:1331] |
Generators of the group modulo torsion |
j |
46753267515625/11591221248 |
j-invariant |
L |
6.3446137473764 |
L(r)(E,1)/r! |
Ω |
0.14481039041682 |
Real period |
R |
10.953312343669 |
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 |
1734b3 55488cd3 41616bx3 816e3 |
Quadratic twists by: -4 8 -3 17 |