Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650n |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21072960 |
Modular degree for the optimal curve |
Δ |
5.3575779830069E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57919075,-128019672875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1842468908:32698607821:314432] |
Generators of the group modulo torsion |
j |
2200333608985618290625/548615985459904728 |
j-invariant |
L |
1.7556654928975 |
L(r)(E,1)/r! |
Ω |
0.055726297721201 |
Real period |
R |
15.752576112519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650ci1 |
Quadratic twists by: 5 |