Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838cg |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
2763589012113384 = 23 · 33 · 79 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70365,6718473] |
[a1,a2,a3,a4,a6] |
Generators |
[984:29349:1] |
Generators of the group modulo torsion |
j |
954798688423/68484312 |
j-invariant |
L |
13.534259180869 |
L(r)(E,1)/r! |
Ω |
0.44458457093241 |
Real period |
R |
0.56374972384564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838by1 |
Quadratic twists by: -7 |