Atkin-Lehner |
2- 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bi |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-2085705001800 = -1 · 23 · 33 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,-75853] |
[a1,a2,a3,a4,a6] |
j |
-105484561/361800 |
j-invariant |
L |
6.0918104824526 |
L(r)(E,1)/r! |
Ω |
0.33843392937159 |
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 |
98490br1 |
Quadratic twists by: -7 |