Atkin-Lehner |
2- 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32232d |
Isogeny class |
Conductor |
32232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
9282816 = 28 · 33 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 4 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849,-9243] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:26:27] |
Generators of the group modulo torsion |
j |
264678249472/36261 |
j-invariant |
L |
5.0616324701176 |
L(r)(E,1)/r! |
Ω |
0.88436914644552 |
Real period |
R |
2.8617192777821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64464c1 96696c1 |
Quadratic twists by: -4 -3 |