Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550j |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-425222784000000 = -1 · 213 · 37 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31300,2338000] |
[a1,a2,a3,a4,a6] |
j |
-217049294532673/27214258176 |
j-invariant |
L |
1.0291303209797 |
L(r)(E,1)/r! |
Ω |
0.51456516049305 |
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 |
97650dw1 1302m1 |
Quadratic twists by: -3 5 |