Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bd |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-7458637889024000 = -1 · 212 · 53 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37827,-3053483] |
[a1,a2,a3,a4,a6] |
Generators |
[687:18620:1] |
Generators of the group modulo torsion |
j |
11690900609536/14567652127 |
j-invariant |
L |
5.4141778117625 |
L(r)(E,1)/r! |
Ω |
0.22363621027753 |
Real period |
R |
0.33624659277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400ck1 106400cf1 |
Quadratic twists by: -4 5 |