Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430be |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5639220000 = 25 · 34 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 6 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1105,13577] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-37:1] |
Generators of the group modulo torsion |
j |
42867789241/1620000 |
j-invariant |
L |
14.062536466236 |
L(r)(E,1)/r! |
Ω |
1.3413756660875 |
Real period |
R |
0.13104584370103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430o1 |
Quadratic twists by: -59 |