Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138p |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
1549909458 = 2 · 33 · 192 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 5 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1205,15878] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1:1] |
Generators of the group modulo torsion |
j |
535376689633/4293378 |
j-invariant |
L |
8.4896591579675 |
L(r)(E,1)/r! |
Ω |
1.5133428223605 |
Real period |
R |
1.8699572531925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138w1 |
Quadratic twists by: -19 |