Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650cj |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-24446559375000 = -1 · 23 · 37 · 58 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6138,-303969] |
[a1,a2,a3,a4,a6] |
j |
-65470966465/62583192 |
j-invariant |
L |
4.6719627392072 |
L(r)(E,1)/r! |
Ω |
0.25955348428165 |
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 |
76650bc1 |
Quadratic twists by: 5 |