Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480w |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62424000000 = 29 · 33 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9123,335178] |
[a1,a2,a3,a4,a6] |
Generators |
[58:34:1] |
Generators of the group modulo torsion |
j |
6074394750936/4515625 |
j-invariant |
L |
3.7996884649082 |
L(r)(E,1)/r! |
Ω |
1.0971795481945 |
Real period |
R |
1.7315709498782 |
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 |
24480b2 48960y2 24480d2 122400a2 |
Quadratic twists by: -4 8 -3 5 |