Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cq |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
48804000000 = 28 · 3 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6488,-201408] |
[a1,a2,a3,a4,a6] |
j |
1933038007993/3123456 |
j-invariant |
L |
8.5120394384788 |
L(r)(E,1)/r! |
Ω |
0.53200246377046 |
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 |
3486c1 |
Quadratic twists by: 5 |