Atkin-Lehner |
3- 5- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395bd |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-15534431859375 = -1 · 37 · 56 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2012,193286] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:474:1] |
Generators of the group modulo torsion |
j |
-1235030650489/21309234375 |
j-invariant |
L |
4.1860022223512 |
L(r)(E,1)/r! |
Ω |
0.58930695112974 |
Real period |
R |
0.59193857503309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465o1 |
Quadratic twists by: -3 |