Atkin-Lehner |
2+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150m |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-1090250 = -1 · 2 · 53 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 5 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7,-49] |
[a1,a2,a3,a4,a6] |
j |
-328509/8722 |
j-invariant |
L |
4.7832950347582 |
L(r)(E,1)/r! |
Ω |
1.1958237586903 |
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 |
31150bc1 |
Quadratic twists by: 5 |