Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bx |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-82785809203200 = -1 · 222 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46067,3842259] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-414:1] |
Generators of the group modulo torsion |
j |
-41081844659329/314572800 |
j-invariant |
L |
8.9716280398358 |
L(r)(E,1)/r! |
Ω |
0.61097510568174 |
Real period |
R |
0.083432465321757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830b1 32490o1 |
Quadratic twists by: -3 -19 |