Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344u |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4522608 = -1 · 24 · 33 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -3 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[14:57:1] |
Generators of the group modulo torsion |
j |
15185664/10469 |
j-invariant |
L |
4.6704999088832 |
L(r)(E,1)/r! |
Ω |
1.3854894398194 |
Real period |
R |
0.84275270785085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19836a1 79344z1 |
Quadratic twists by: -4 -3 |