Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210v |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
6387206400000 = 211 · 36 · 55 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5640,-107200] |
[a1,a2,a3,a4,a6] |
j |
19882608489/6400000 |
j-invariant |
L |
0.56496477288938 |
L(r)(E,1)/r! |
Ω |
0.5649646519502 |
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 |
13690n1 123210df1 |
Quadratic twists by: -3 37 |