Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464o |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-4243083264 = -1 · 212 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1116,-14688] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:3997:27] |
Generators of the group modulo torsion |
j |
-51478848/1421 |
j-invariant |
L |
8.8655550104362 |
L(r)(E,1)/r! |
Ω |
0.41233146172001 |
Real period |
R |
5.3752598537681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58464y1 116928co1 6496l1 |
Quadratic twists by: -4 8 -3 |