Atkin-Lehner |
3- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835bg |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-7372865651526154395 = -1 · 315 · 5 · 73 · 112 · 195 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,261213,120109752] |
[a1,a2,a3,a4,a6] |
j |
2703837237489299456/10113670303876755 |
j-invariant |
L |
1.3377783311403 |
L(r)(E,1)/r! |
Ω |
0.16722229246733 |
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 |
21945r1 |
Quadratic twists by: -3 |