Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984r |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-181115820361728 = -1 · 211 · 32 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14096,70580] |
[a1,a2,a3,a4,a6] |
Generators |
[44:882:1] |
Generators of the group modulo torsion |
j |
1285471294/751689 |
j-invariant |
L |
4.9314099031559 |
L(r)(E,1)/r! |
Ω |
0.34464719121302 |
Real period |
R |
1.7885717731356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992v4 119952bj3 816b4 |
Quadratic twists by: -4 -3 -7 |