Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bm |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3338271719424 = 223 · 34 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185889,30786111] |
[a1,a2,a3,a4,a6] |
j |
551569744601/2592 |
j-invariant |
L |
2.8068597065648 |
L(r)(E,1)/r! |
Ω |
0.70171492694357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cr2 1734c2 55488i2 |
Quadratic twists by: -4 8 17 |