Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738c |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-6989113372114944 = -1 · 216 · 34 · 76 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10385,4041956] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1882:1] |
Generators of the group modulo torsion |
j |
-123846317599849993/6989113372114944 |
j-invariant |
L |
5.4064728880214 |
L(r)(E,1)/r! |
Ω |
0.34754975649126 |
Real period |
R |
1.9444959991496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214r1 |
Quadratic twists by: -3 |