Atkin-Lehner |
3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487f |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
6125220621 = 33 · 136 · 47 |
Discriminant |
Eigenvalues |
2 3+ 3 -1 -3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1521,22519] |
[a1,a2,a3,a4,a6] |
j |
2985984/47 |
j-invariant |
L |
5.38175852893 |
L(r)(E,1)/r! |
Ω |
1.3454396386934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487c1 423g1 |
Quadratic twists by: -3 13 |