Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800bh |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
4418000 = 24 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3680,-85925] |
[a1,a2,a3,a4,a6] |
Generators |
[41970:3039725:8] |
Generators of the group modulo torsion |
j |
2755733225472/2209 |
j-invariant |
L |
4.4307908702938 |
L(r)(E,1)/r! |
Ω |
0.61296774331361 |
Real period |
R |
7.2284242011524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4700k1 75200dc1 18800bn1 |
Quadratic twists by: -4 8 5 |