Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768x |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-118464576192 = -1 · 26 · 316 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 1 -3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-930,19834] |
[a1,a2,a3,a4,a6] |
Generators |
[41:225:1] |
Generators of the group modulo torsion |
j |
-1906624000/2539107 |
j-invariant |
L |
5.4598160967357 |
L(r)(E,1)/r! |
Ω |
0.94627685498547 |
Real period |
R |
2.8848936059096 |
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 |
24768j1 12384c1 8256q1 |
Quadratic twists by: -4 8 -3 |