Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bm |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
75623388476702976 = 28 · 320 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227919,39736370] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:1440:1] |
Generators of the group modulo torsion |
j |
7016132963077072/405217916649 |
j-invariant |
L |
6.6671098533252 |
L(r)(E,1)/r! |
Ω |
0.33905109371097 |
Real period |
R |
4.9160067050084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496e1 |
Quadratic twists by: -3 |