Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bw |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
53444646528000 = 210 · 3 · 53 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41176,3210460] |
[a1,a2,a3,a4,a6] |
j |
64088267044/443625 |
j-invariant |
L |
1.2674335637149 |
L(r)(E,1)/r! |
Ω |
0.63371678046475 |
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 |
10920s1 |
Quadratic twists by: -7 |