Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975t |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-624218994140625 = -1 · 32 · 512 · 132 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33501,2645773] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2951:1] |
Generators of the group modulo torsion |
j |
-266108264948161/39950015625 |
j-invariant |
L |
8.4502938432964 |
L(r)(E,1)/r! |
Ω |
0.49610230498249 |
Real period |
R |
2.1291711806284 |
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 |
119925bj2 7995c2 |
Quadratic twists by: -3 5 |