Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11100l |
Isogeny class |
Conductor |
11100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
37930781250000 = 24 · 38 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192033,-32452812] |
[a1,a2,a3,a4,a6] |
j |
3132662187311104/151723125 |
j-invariant |
L |
0.91225584144069 |
L(r)(E,1)/r! |
Ω |
0.22806396036017 |
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 |
44400bm1 33300s1 2220b1 |
Quadratic twists by: -4 -3 5 |