Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360x |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
34106702400 = 26 · 310 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-813,-812] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:90:1] [-3:40:1] |
Generators of the group modulo torsion |
j |
1273760704/731025 |
j-invariant |
L |
7.6452607533895 |
L(r)(E,1)/r! |
Ω |
0.97082887490451 |
Real period |
R |
3.9374914318154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27360g1 54720bo2 9120j1 |
Quadratic twists by: -4 8 -3 |