Atkin-Lehner |
2+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31160a |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-4985600 = -1 · 28 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -6 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81,275] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-232428544/19475 |
j-invariant |
L |
6.7601368538829 |
L(r)(E,1)/r! |
Ω |
2.3787335265518 |
Real period |
R |
0.35523823803849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62320a1 |
Quadratic twists by: -4 |