Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970g |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
168988500000 = 25 · 32 · 56 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3269,-69424] |
[a1,a2,a3,a4,a6] |
j |
3861690684823369/168988500000 |
j-invariant |
L |
1.2662369892884 |
L(r)(E,1)/r! |
Ω |
0.6331184946442 |
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 |
71910bf2 119850bq2 |
Quadratic twists by: -3 5 |