Atkin-Lehner |
2+ 3- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062i |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
31969437696 = 211 · 36 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1023,-8947] |
[a1,a2,a3,a4,a6] |
Generators |
[41:109:1] |
Generators of the group modulo torsion |
j |
162503178993/43853824 |
j-invariant |
L |
5.3200775783738 |
L(r)(E,1)/r! |
Ω |
0.86118381301451 |
Real period |
R |
3.0888165209035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118g1 |
Quadratic twists by: -3 |