Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720cm |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-10879684608000 = -1 · 215 · 3 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5440,-38400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:130:1] |
Generators of the group modulo torsion |
j |
4345908989759/2656173000 |
j-invariant |
L |
6.4512933877277 |
L(r)(E,1)/r! |
Ω |
0.41691171756795 |
Real period |
R |
0.64475014704363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bj1 |
Quadratic twists by: -4 |