Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21801g |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6506157214089 = 36 · 136 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4989,-58176] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:279:1] [-15:123:1] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
5.3956981522465 |
L(r)(E,1)/r! |
Ω |
0.59506257133312 |
Real period |
R |
3.0224822353044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65403f2 129b1 |
Quadratic twists by: -3 13 |