Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416r |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
11130500304 = 24 · 312 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-679,-4774] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:45:1] |
Generators of the group modulo torsion |
j |
2166968031232/695656269 |
j-invariant |
L |
5.8605099641876 |
L(r)(E,1)/r! |
Ω |
0.95892364607342 |
Real period |
R |
1.0185916936113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832c1 94248j1 |
Quadratic twists by: -4 -3 |