Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360bf |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-252642240 = -1 · 26 · 37 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,556] |
[a1,a2,a3,a4,a6] |
Generators |
[5:36:1] |
Generators of the group modulo torsion |
j |
4410944/5415 |
j-invariant |
L |
6.2939722744637 |
L(r)(E,1)/r! |
Ω |
1.173157158134 |
Real period |
R |
1.3412466161982 |
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 |
27360n1 54720r2 9120g1 |
Quadratic twists by: -4 8 -3 |