Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bu |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
835072602000000000 = 210 · 3 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102947208,-402006339588] |
[a1,a2,a3,a4,a6] |
j |
60330571443221291348/417536301 |
j-invariant |
L |
0.85313629193997 |
L(r)(E,1)/r! |
Ω |
0.047396460601232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cp1 54600bh1 |
Quadratic twists by: -4 5 |