Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360bg |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
757926720 = 26 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,-5456] |
[a1,a2,a3,a4,a6] |
Generators |
[60:418:1] |
Generators of the group modulo torsion |
j |
504358336/16245 |
j-invariant |
L |
5.481749628127 |
L(r)(E,1)/r! |
Ω |
0.96774943395846 |
Real period |
R |
2.8322153626608 |
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 |
27360bc1 54720dn2 9120h1 |
Quadratic twists by: -4 8 -3 |