Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576r |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3364549875887616 = -1 · 29 · 313 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 -6 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15981,-2680234] |
[a1,a2,a3,a4,a6] |
Generators |
[113:754:1] [577:14094:1] |
Generators of the group modulo torsion |
j |
1209311206264/9014247567 |
j-invariant |
L |
6.9981933109263 |
L(r)(E,1)/r! |
Ω |
0.22194351063645 |
Real period |
R |
0.65690451421209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576q1 36192x1 |
Quadratic twists by: -4 -3 |