Atkin-Lehner |
2+ 3+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534c |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-879097577472 = -1 · 215 · 39 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-227112,-41602240] |
[a1,a2,a3,a4,a6] |
Generators |
[1682050082570:-13190287335367:2924207000] |
Generators of the group modulo torsion |
j |
-65819372975593875/44662784 |
j-invariant |
L |
4.2926180966613 |
L(r)(E,1)/r! |
Ω |
0.10934764426747 |
Real period |
R |
19.628306240238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24534h1 |
Quadratic twists by: -3 |