Atkin-Lehner |
2- 3+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24804a |
Isogeny class |
Conductor |
24804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-804840192 = -1 · 28 · 33 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 1 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3264,-71788] |
[a1,a2,a3,a4,a6] |
Generators |
[101:793:1] |
Generators of the group modulo torsion |
j |
-556378619904/116441 |
j-invariant |
L |
6.0403869114006 |
L(r)(E,1)/r! |
Ω |
0.31581050256489 |
Real period |
R |
3.1877697027927 |
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 |
99216x1 24804b1 |
Quadratic twists by: -4 -3 |