Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483i |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5940 |
Modular degree for the optimal curve |
Δ |
-42483 = -1 · 3 · 72 · 172 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 6 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-79,-246] |
[a1,a2,a3,a4,a6] |
j |
-3899392/3 |
j-invariant |
L |
0.79980772720909 |
L(r)(E,1)/r! |
Ω |
0.79980772724292 |
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 |
127449bb1 42483o1 42483bb1 |
Quadratic twists by: -3 -7 17 |