Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230fe |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-3616110313200 = -1 · 24 · 36 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2518,-78119] |
[a1,a2,a3,a4,a6] |
j |
1367631/2800 |
j-invariant |
L |
6.5748676301134 |
L(r)(E,1)/r! |
Ω |
0.41092922792616 |
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 |
8470h1 630e1 |
Quadratic twists by: -3 -11 |