Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825bo |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-2.4589570836574E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6922883,-7408105981] |
[a1,a2,a3,a4,a6] |
Generators |
[4337419397:625185714998:205379] |
Generators of the group modulo torsion |
j |
-8313508102144/557122275 |
j-invariant |
L |
5.6443888284497 |
L(r)(E,1)/r! |
Ω |
0.046357633330187 |
Real period |
R |
15.219685580816 |
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 |
13965j1 69825g1 |
Quadratic twists by: 5 -7 |