Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072h |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1015296 |
Modular degree for the optimal curve |
Δ |
-256141448713008 = -1 · 24 · 39 · 194 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256662,-50054355] |
[a1,a2,a3,a4,a6] |
Generators |
[491526:17235261:343] |
Generators of the group modulo torsion |
j |
-5937411637204992/813333361 |
j-invariant |
L |
6.059722527173 |
L(r)(E,1)/r! |
Ω |
0.10605364420594 |
Real period |
R |
7.1422846915652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108072a1 |
Quadratic twists by: -3 |