Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cz |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-99242934000 = -1 · 24 · 3 · 53 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,197,-15103] |
[a1,a2,a3,a4,a6] |
j |
6761990971/793943472 |
j-invariant |
L |
8.0692698835101 |
L(r)(E,1)/r! |
Ω |
0.50432937160447 |
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 |
87150y1 |
Quadratic twists by: 5 |