Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958h |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-542105293284 = -1 · 22 · 32 · 414 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2365,-56884] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:10423:8] |
Generators of the group modulo torsion |
j |
-1462019437814473/542105293284 |
j-invariant |
L |
5.0675407652762 |
L(r)(E,1)/r! |
Ω |
0.3361014072862 |
Real period |
R |
3.7693540218956 |
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 |
53874n2 |
Quadratic twists by: -3 |