Atkin-Lehner |
2+ 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16974b |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2561427522 = 2 · 310 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3897,-92637] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1506:1] |
Generators of the group modulo torsion |
j |
8979457236625/3513618 |
j-invariant |
L |
3.6389751786553 |
L(r)(E,1)/r! |
Ω |
0.60425733119099 |
Real period |
R |
3.0111138010381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658h2 |
Quadratic twists by: -3 |