Atkin-Lehner |
3- 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915l |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
915705 = 34 · 5 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-239,1397] |
[a1,a2,a3,a4,a6] |
j |
1500730351849/915705 |
j-invariant |
L |
2.7667212156014 |
L(r)(E,1)/r! |
Ω |
2.7667212156186 |
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 |
101745bb1 |
Quadratic twists by: -3 |