Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840cl |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-43919498280960 = -1 · 219 · 34 · 5 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26320,1665428] |
[a1,a2,a3,a4,a6] |
Generators |
[98:192:1] |
Generators of the group modulo torsion |
j |
-492309163417681/10722533760 |
j-invariant |
L |
9.6191890278567 |
L(r)(E,1)/r! |
Ω |
0.64049477161296 |
Real period |
R |
0.93864827816912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730j1 |
Quadratic twists by: -4 |