Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21801g |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
5603925249 = 33 · 136 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4144,-102961] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:26:1] [79:214:1] |
Generators of the group modulo torsion |
j |
1630532233/1161 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
65403f1 129b2 |
Quadratic twists by: -3 13 |