Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110df |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
40918557498000 = 24 · 3 · 53 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8625,17625] |
[a1,a2,a3,a4,a6] |
j |
1758416743/1014000 |
j-invariant |
L |
6.5829259638103 |
L(r)(E,1)/r! |
Ω |
0.54857716365086 |
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 |
57330bq1 95550t1 19110bp1 |
Quadratic twists by: -3 5 -7 |