Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dl |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-762404792942110500 = -1 · 22 · 33 · 53 · 711 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176468,-50739269] |
[a1,a2,a3,a4,a6] |
Generators |
[1573:58895:1] |
Generators of the group modulo torsion |
j |
-788101442546067/988663371500 |
j-invariant |
L |
11.644937606871 |
L(r)(E,1)/r! |
Ω |
0.11120411610087 |
Real period |
R |
2.3799269501545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470r1 106470m1 |
Quadratic twists by: -3 13 |