Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456bu |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-363356928 = -1 · 28 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-916] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] [34:198:1] |
Generators of the group modulo torsion |
j |
8192/1947 |
j-invariant |
L |
9.3441108423939 |
L(r)(E,1)/r! |
Ω |
0.79949399502682 |
Real period |
R |
1.4609413735732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23364a1 31152o1 |
Quadratic twists by: -4 -3 |