Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58400k |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
73000000 = 26 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-625,-6000] |
[a1,a2,a3,a4,a6] |
j |
27000000/73 |
j-invariant |
L |
0.95499285192273 |
L(r)(E,1)/r! |
Ω |
0.95499285746961 |
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 |
58400l1 116800bp1 2336b1 |
Quadratic twists by: -4 8 5 |