Atkin-Lehner |
3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
96195p |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
1884960 |
Modular degree for the optimal curve |
Δ |
-7335820320701964795 = -1 · 317 · 5 · 118 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1470311,697991201] |
[a1,a2,a3,a4,a6] |
Generators |
[5402:29399:8] |
Generators of the group modulo torsion |
j |
-1639872735576064/34222143195 |
j-invariant |
L |
7.8831430022605 |
L(r)(E,1)/r! |
Ω |
0.23521006682354 |
Real period |
R |
0.65716333302216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96195q1 |
Quadratic twists by: -11 |