Atkin-Lehner |
3- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96807d |
Isogeny class |
Conductor |
96807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-8899495300288683 = -1 · 34 · 239 · 61 |
Discriminant |
Eigenvalues |
0 3- -4 -3 -3 3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-32445,5054825] |
[a1,a2,a3,a4,a6] |
Generators |
[705:18250:1] |
Generators of the group modulo torsion |
j |
-2097152/4941 |
j-invariant |
L |
3.3393839568504 |
L(r)(E,1)/r! |
Ω |
0.36465322976363 |
Real period |
R |
1.1447121942444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96807f1 |
Quadratic twists by: -23 |