Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984p |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
672011088 = 24 · 3 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5847,170148] |
[a1,a2,a3,a4,a6] |
Generators |
[12614868:19557280:250047] |
Generators of the group modulo torsion |
j |
11745974272/357 |
j-invariant |
L |
8.4972571958365 |
L(r)(E,1)/r! |
Ω |
1.5040194240682 |
Real period |
R |
11.299398212357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992c1 119952bm1 5712b1 |
Quadratic twists by: -4 -3 -7 |