Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488m |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-78785025216 = -1 · 26 · 3 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -3 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,193,13401] |
[a1,a2,a3,a4,a6] |
Generators |
[40:289:1] |
Generators of the group modulo torsion |
j |
512/51 |
j-invariant |
L |
1.8147538244643 |
L(r)(E,1)/r! |
Ω |
0.83202009017759 |
Real period |
R |
0.54528545824167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bq1 27744m1 3264m1 |
Quadratic twists by: -4 8 17 |