Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dk |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26777147443200000 = 214 · 36 · 55 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-470400363,-3926897684838] |
[a1,a2,a3,a4,a6] |
j |
3855131356812007128171561/8967612500 |
j-invariant |
L |
1.0373674585197 |
L(r)(E,1)/r! |
Ω |
0.032417733122397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930y4 6160p4 |
Quadratic twists by: -4 -3 |