Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400co |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1543680000 = -1 · 212 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,267,-963] |
[a1,a2,a3,a4,a6] |
j |
819200/603 |
j-invariant |
L |
1.688978018147 |
L(r)(E,1)/r! |
Ω |
0.84448900611308 |
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 |
5025h1 80400cu1 |
Quadratic twists by: -4 5 |