Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880m |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-1260779240161280 = -1 · 222 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115136,-15172300] |
[a1,a2,a3,a4,a6] |
j |
-41209841879252929/307807431680 |
j-invariant |
L |
0.51812283551306 |
L(r)(E,1)/r! |
Ω |
0.12953070889243 |
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 |
5110e1 |
Quadratic twists by: -4 |