Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395g |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
106145859105 = 38 · 5 · 114 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2228,-36754] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:61:1] |
Generators of the group modulo torsion |
j |
1677100110841/145604745 |
j-invariant |
L |
3.2746666352324 |
L(r)(E,1)/r! |
Ω |
0.69876963847535 |
Real period |
R |
2.3431660928341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465r1 |
Quadratic twists by: -3 |