Atkin-Lehner |
3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5073d |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-120549699 = -1 · 32 · 19 · 893 |
Discriminant |
Eigenvalues |
1 3+ 3 4 -5 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6110441,-5816304708] |
[a1,a2,a3,a4,a6] |
j |
-25231408121333628493036057/120549699 |
j-invariant |
L |
2.5926576326557 |
L(r)(E,1)/r! |
Ω |
0.048012178382513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168cs1 15219b1 126825s1 96387k1 |
Quadratic twists by: -4 -3 5 -19 |