Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760bi |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
295827983360000 = 213 · 54 · 7 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346667,78558426] |
[a1,a2,a3,a4,a6] |
j |
1124867244803120001/72223628750 |
j-invariant |
L |
2.074401646542 |
L(r)(E,1)/r! |
Ω |
0.51860037750338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15470o3 |
Quadratic twists by: -4 |