Atkin-Lehner |
5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24745h |
Isogeny class |
Conductor |
24745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
59412745 = 5 · 76 · 101 |
Discriminant |
Eigenvalues |
1 0 5- 7- -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-499,-4152] |
[a1,a2,a3,a4,a6] |
j |
116930169/505 |
j-invariant |
L |
1.0102909820779 |
L(r)(E,1)/r! |
Ω |
1.010290982078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123725p1 505a1 |
Quadratic twists by: 5 -7 |