Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584c |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
160928208 = 24 · 39 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4590,119691] |
[a1,a2,a3,a4,a6] |
j |
33958656000/511 |
j-invariant |
L |
3.3255197984159 |
L(r)(E,1)/r! |
Ω |
1.6627598935903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36792f1 73584d1 |
Quadratic twists by: -4 -3 |