Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dy |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-76406976 = -1 · 26 · 35 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 2 5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3377,74421] |
[a1,a2,a3,a4,a6] |
Generators |
[28:51:1] |
Generators of the group modulo torsion |
j |
-13549359104/243 |
j-invariant |
L |
7.1619052674421 |
L(r)(E,1)/r! |
Ω |
1.777815805978 |
Real period |
R |
0.40284855401294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488n2 13872x2 55488cu2 |
Quadratic twists by: -4 8 17 |