Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110ci |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-191100000 = -1 · 25 · 3 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-260,1637] |
[a1,a2,a3,a4,a6] |
Generators |
[17:41:1] |
Generators of the group modulo torsion |
j |
-39678209809/3900000 |
j-invariant |
L |
6.6239007329533 |
L(r)(E,1)/r! |
Ω |
1.7493340146238 |
Real period |
R |
0.15146108582078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330bv1 95550ef1 19110cl1 |
Quadratic twists by: -3 5 -7 |