Atkin-Lehner |
5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6355f |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-3971875 = -1 · 55 · 31 · 41 |
Discriminant |
Eigenvalues |
0 2 5- -1 -3 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,25,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
1659797504/3971875 |
j-invariant |
L |
4.7262981968879 |
L(r)(E,1)/r! |
Ω |
1.2801894277988 |
Real period |
R |
0.7383748208286 |
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 |
101680r1 57195o1 31775e1 |
Quadratic twists by: -4 -3 5 |