Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344r |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74098409472 = 218 · 33 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475155,126066898] |
[a1,a2,a3,a4,a6] |
Generators |
[3191:176358:1] |
Generators of the group modulo torsion |
j |
107276824864348875/670016 |
j-invariant |
L |
7.8827186079228 |
L(r)(E,1)/r! |
Ω |
0.74664808892233 |
Real period |
R |
5.278737549226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9918b2 79344w2 |
Quadratic twists by: -4 -3 |