Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1995g |
Isogeny class |
Conductor |
1995 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
240210178108425 = 35 · 52 · 78 · 193 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-868893,-311814869] |
[a1,a2,a3,a4,a6] |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
3.1274337737357 |
L(r)(E,1)/r! |
Ω |
0.15637168868678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920bd1 127680o1 5985l1 9975b1 |
Quadratic twists by: -4 8 -3 5 |