Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bp |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
347802000 = 24 · 3 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-176,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:19:1] |
Generators of the group modulo torsion |
j |
1758416743/1014000 |
j-invariant |
L |
6.2921621204365 |
L(r)(E,1)/r! |
Ω |
1.4287713478467 |
Real period |
R |
1.1009742968879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cj1 95550ep1 19110df1 |
Quadratic twists by: -3 5 -7 |