Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bt |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2279748203460 = 22 · 32 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-100696,-12340651] |
[a1,a2,a3,a4,a6] |
j |
959781554388721/19377540 |
j-invariant |
L |
3.2160904139164 |
L(r)(E,1)/r! |
Ω |
0.26800753449304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cu1 95550dt1 2730bb1 |
Quadratic twists by: -3 5 -7 |