Atkin-Lehner |
2- 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dd |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
243648 |
Modular degree for the optimal curve |
Δ |
-12230032050 = -1 · 2 · 39 · 52 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17153,-866133] |
[a1,a2,a3,a4,a6] |
Generators |
[4454:99671:8] |
Generators of the group modulo torsion |
j |
-22325723857151545/489201282 |
j-invariant |
L |
14.935270440331 |
L(r)(E,1)/r! |
Ω |
0.2085853652738 |
Real period |
R |
3.9779264753158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650g1 |
Quadratic twists by: 5 |