Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645p |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-75955677875 = -1 · 53 · 73 · 116 |
Discriminant |
Eigenvalues |
2 -3 5- 7- 11- 3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-847,-16305] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
2.5429788194767 |
L(r)(E,1)/r! |
Ω |
0.42382980324586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29645j1 245a1 |
Quadratic twists by: -7 -11 |