Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bl |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-50834964480 = -1 · 225 · 3 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,895,-3105] |
[a1,a2,a3,a4,a6] |
Generators |
[873:25824:1] |
Generators of the group modulo torsion |
j |
302111711/193920 |
j-invariant |
L |
7.8584268258704 |
L(r)(E,1)/r! |
Ω |
0.64467476796397 |
Real period |
R |
6.0948769879111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960cm1 3030p1 |
Quadratic twists by: -4 8 |