Atkin-Lehner |
2- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888v |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
8129953792 = 214 · 173 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 1 5 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-613,-3715] |
[a1,a2,a3,a4,a6] |
Generators |
[28:17:1] |
Generators of the group modulo torsion |
j |
1557376000/496213 |
j-invariant |
L |
5.3729451207573 |
L(r)(E,1)/r! |
Ω |
0.98348942923622 |
Real period |
R |
1.8210482504567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888h1 27472h1 |
Quadratic twists by: -4 8 |