Atkin-Lehner |
2+ 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970c |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
395585179650 = 2 · 36 · 52 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52537,-4656821] |
[a1,a2,a3,a4,a6] |
j |
16037343738665285401/395585179650 |
j-invariant |
L |
1.8920562951975 |
L(r)(E,1)/r! |
Ω |
0.31534271586626 |
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 |
71910w2 119850cj2 |
Quadratic twists by: -3 5 |