Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ca |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-287674490094750000 = -1 · 24 · 310 · 56 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-404382,102286019] |
[a1,a2,a3,a4,a6] |
j |
-353912203264/13921875 |
j-invariant |
L |
3.669482032915 |
L(r)(E,1)/r! |
Ω |
0.30579016849856 |
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 |
43560cn1 29040e1 7920t1 |
Quadratic twists by: -4 -3 -11 |