Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956k |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-254552391789163776 = -1 · 28 · 32 · 79 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1442772,-666989784] |
[a1,a2,a3,a4,a6] |
Generators |
[16350:2084754:1] |
Generators of the group modulo torsion |
j |
-32151023562544/24640803 |
j-invariant |
L |
4.4226011697337 |
L(r)(E,1)/r! |
Ω |
0.068873181721504 |
Real period |
R |
5.3511409156673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999125133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956bd1 |
Quadratic twists by: -7 |