Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075t |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
253828125 = 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -3 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:71:8] |
Generators of the group modulo torsion |
j |
77824/45 |
j-invariant |
L |
13.82626372677 |
L(r)(E,1)/r! |
Ω |
1.4840346972162 |
Real period |
R |
2.3291678679591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225bk1 5415d1 27075c1 |
Quadratic twists by: -3 5 -19 |