Atkin-Lehner |
2+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782h |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6456184560111104 = 29 · 79 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-940613,-350870955] |
[a1,a2,a3,a4,a6] |
j |
2280733501512591/159990272 |
j-invariant |
L |
0.30660456428249 |
L(r)(E,1)/r! |
Ω |
0.15330228100977 |
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 |
54782t2 |
Quadratic twists by: -7 |