Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928dx |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3654075417624576 = -1 · 222 · 36 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8364,2923216] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:896:1] [234:3712:1] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
10.135493931528 |
L(r)(E,1)/r! |
Ω |
0.36684596408706 |
Real period |
R |
1.1511977465545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928cn1 29232bb1 12992x1 |
Quadratic twists by: -4 8 -3 |