Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984o |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-4.9599963864548E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34625572,79140113660] |
[a1,a2,a3,a4,a6] |
Generators |
[30634:-416745:8] |
Generators of the group modulo torsion |
j |
-152435594466395827792/1646846627220711 |
j-invariant |
L |
8.3759580734835 |
L(r)(E,1)/r! |
Ω |
0.11328024983394 |
Real period |
R |
1.5404196829257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992u1 119952bk1 5712g1 |
Quadratic twists by: -4 -3 -7 |