Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575br |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
-1362987675 = -1 · 33 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3211,69773] |
[a1,a2,a3,a4,a6] |
Generators |
[1:257:1] [13:167:1] |
Generators of the group modulo torsion |
j |
-60970256305/22707 |
j-invariant |
L |
15.524978614528 |
L(r)(E,1)/r! |
Ω |
1.494275008024 |
Real period |
R |
1.7316065793343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575be1 106575g1 |
Quadratic twists by: 5 -7 |