Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984br |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-2.8526542888893E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 6 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3008304,25617415104] |
[a1,a2,a3,a4,a6] |
Generators |
[-533274273:3519271062:205379] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
4.6434562961287 |
L(r)(E,1)/r! |
Ω |
0.074697065416792 |
Real period |
R |
15.540959575254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bk1 119952gi1 39984cw1 |
Quadratic twists by: -4 -3 -7 |