Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932w |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
17839353168 = 24 · 36 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764,-27783] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:27:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
6.6635226326843 |
L(r)(E,1)/r! |
Ω |
0.73799824808244 |
Real period |
R |
1.5048641488419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728fm1 2548i1 468c1 |
Quadratic twists by: -4 -3 -7 |