Atkin-Lehner |
5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27455a |
Isogeny class |
Conductor |
27455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
92582663095625 = 54 · 177 · 192 |
Discriminant |
Eigenvalues |
-1 2 5+ 4 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62141,5918434] |
[a1,a2,a3,a4,a6] |
Generators |
[128:222:1] |
Generators of the group modulo torsion |
j |
1099424306161/3835625 |
j-invariant |
L |
5.4215617069446 |
L(r)(E,1)/r! |
Ω |
0.60474477377022 |
Real period |
R |
4.482520512864 |
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 |
1615a1 |
Quadratic twists by: 17 |