Atkin-Lehner |
3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065k |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-11013711135 = -1 · 3 · 5 · 76 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1275,-18768] |
[a1,a2,a3,a4,a6] |
j |
-1948441249/93615 |
j-invariant |
L |
1.593436224141 |
L(r)(E,1)/r! |
Ω |
0.39835905564888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1185e1 |
Quadratic twists by: -7 |