Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480cd |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1312592085647360 = 224 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27587,268226] |
[a1,a2,a3,a4,a6] |
j |
4818245769/2723840 |
j-invariant |
L |
0.83160187887694 |
L(r)(E,1)/r! |
Ω |
0.41580095028862 |
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 |
9310j1 10640l1 |
Quadratic twists by: -4 -7 |