Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720f |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-17670960 = -1 · 24 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 1 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,-173] |
[a1,a2,a3,a4,a6] |
j |
702464/1515 |
j-invariant |
L |
2.2715264170939 |
L(r)(E,1)/r! |
Ω |
1.1357632099737 |
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 |
36360n1 24240o1 |
Quadratic twists by: -4 -3 |