Atkin-Lehner |
7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73283d |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
582768 |
Modular degree for the optimal curve |
Δ |
-2899484833048643 = -1 · 7 · 198 · 293 |
Discriminant |
Eigenvalues |
-1 -1 0 7- 4 6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-256498,49960674] |
[a1,a2,a3,a4,a6] |
j |
-109887162625/170723 |
j-invariant |
L |
1.3547471250659 |
L(r)(E,1)/r! |
Ω |
0.45158238997455 |
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 |
73283i1 |
Quadratic twists by: -19 |