Atkin-Lehner |
2+ 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990l |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-2640832031250 = -1 · 2 · 33 · 59 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,741,-77985] |
[a1,a2,a3,a4,a6] |
j |
1665270747477/97808593750 |
j-invariant |
L |
2.321303135533 |
L(r)(E,1)/r! |
Ω |
0.38688385590936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45990bm2 |
Quadratic twists by: -3 |