Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ez |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1984540959571968 = -1 · 220 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25908,-1420400] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1624:1] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
5.3098023631642 |
L(r)(E,1)/r! |
Ω |
0.25309698701414 |
Real period |
R |
1.7482765756797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999207149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bv1 29232bs1 38976bz1 |
Quadratic twists by: -4 8 -3 |