Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110t |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-344109348637629120 = -1 · 26 · 315 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,171621,-6890138] |
[a1,a2,a3,a4,a6] |
Generators |
[935:30696:1] |
Generators of the group modulo torsion |
j |
96973777690391/59691453120 |
j-invariant |
L |
4.2186197590845 |
L(r)(E,1)/r! |
Ω |
0.17547466007674 |
Real period |
R |
2.4041190661032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57330eu1 95550gb1 19110k1 |
Quadratic twists by: -3 5 -7 |