Atkin-Lehner |
2- 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24804b |
Isogeny class |
Conductor |
24804 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-586728499968 = -1 · 28 · 39 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -1 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29376,1938276] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:1755:1] [100:26:1] |
Generators of the group modulo torsion |
j |
-556378619904/116441 |
j-invariant |
L |
6.9486597151789 |
L(r)(E,1)/r! |
Ω |
0.89261626482134 |
Real period |
R |
0.43247772425544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216y1 24804a1 |
Quadratic twists by: -4 -3 |