Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
117670c |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3857280 |
Modular degree for the optimal curve |
Δ |
-2.9304803349678E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1908250,1307303220] |
[a1,a2,a3,a4,a6] |
j |
-96240705849/36700160 |
j-invariant |
L |
0.97561229868514 |
L(r)(E,1)/r! |
Ω |
0.16260200931396 |
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 |
117670e1 |
Quadratic twists by: 41 |