Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24909i |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-32655699 = -1 · 32 · 193 · 232 |
Discriminant |
Eigenvalues |
0 3- 3 -3 3 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,51,254] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] |
Generators of the group modulo torsion |
j |
2097152/4761 |
j-invariant |
L |
6.5238759014052 |
L(r)(E,1)/r! |
Ω |
1.4442487893824 |
Real period |
R |
0.56464266660343 |
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 |
74727e1 24909b1 |
Quadratic twists by: -3 -19 |