Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600u |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-298800 = -1 · 24 · 32 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,8] |
[a1,a2,a3,a4,a6] |
j |
1280000/747 |
j-invariant |
L |
3.712727497867 |
L(r)(E,1)/r! |
Ω |
1.8563636423013 |
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 |
49800y1 99600o1 |
Quadratic twists by: -4 5 |