Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032bb |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
278592832 = 26 · 76 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,6595] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1:1] |
Generators of the group modulo torsion |
j |
4096000/37 |
j-invariant |
L |
3.9504071013686 |
L(r)(E,1)/r! |
Ω |
1.7455177966084 |
Real period |
R |
2.2631720585604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032a1 29008l1 2368j1 |
Quadratic twists by: -4 8 -7 |