Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bi |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-262909500000000 = -1 · 28 · 3 · 59 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7724,735698] |
[a1,a2,a3,a4,a6] |
j |
3262205418191/16826208000 |
j-invariant |
L |
1.5894780473886 |
L(r)(E,1)/r! |
Ω |
0.39736950433398 |
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 |
15330p1 |
Quadratic twists by: 5 |