Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550bm |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-430815931875000 = -1 · 23 · 33 · 57 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5963,-1016719] |
[a1,a2,a3,a4,a6] |
j |
-1500730351849/27572219640 |
j-invariant |
L |
2.7364837683768 |
L(r)(E,1)/r! |
Ω |
0.22804031403133 |
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 |
97650s1 6510g1 |
Quadratic twists by: -3 5 |