Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075n |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4822734375 = -1 · 32 · 57 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,287,2792] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:355:8] [1:55:1] |
Generators of the group modulo torsion |
j |
24389/45 |
j-invariant |
L |
5.9667490240295 |
L(r)(E,1)/r! |
Ω |
0.9419639206385 |
Real period |
R |
3.1671855435747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225s1 5415a1 27075b1 |
Quadratic twists by: -3 5 -19 |