Atkin-Lehner |
2+ 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
39816b |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-10700868528 = -1 · 24 · 37 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1650,26273] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:117:1] [16:63:1] |
Generators of the group modulo torsion |
j |
-42592000000/917427 |
j-invariant |
L |
8.7405844976465 |
L(r)(E,1)/r! |
Ω |
1.2813396721816 |
Real period |
R |
0.85268027356526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632i1 13272d1 |
Quadratic twists by: -4 -3 |