Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825p |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4409150390625 = 3 · 510 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17813,907992] |
[a1,a2,a3,a4,a6] |
Generators |
[11097:1163364:1] |
Generators of the group modulo torsion |
j |
40005197022601/282185625 |
j-invariant |
L |
6.01117268414 |
L(r)(E,1)/r! |
Ω |
0.78015902314467 |
Real period |
R |
7.7050607016606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25365e1 |
Quadratic twists by: 5 |