Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958g |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26444160648 = 23 · 32 · 413 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26465666,-52407159316] |
[a1,a2,a3,a4,a6] |
Generators |
[9619775130:-1586552755313:343000] |
Generators of the group modulo torsion |
j |
2050086428241822092284233625/26444160648 |
j-invariant |
L |
4.8696906541462 |
L(r)(E,1)/r! |
Ω |
0.066562381171363 |
Real period |
R |
18.289950601412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874k4 |
Quadratic twists by: -3 |