Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880w |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
306553312890050000 = 24 · 55 · 1910 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332601,68967860] |
[a1,a2,a3,a4,a6] |
Generators |
[146779930983024:3899721756215798:150483876759] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
6.3409245200519 |
L(r)(E,1)/r! |
Ω |
0.29993387322842 |
Real period |
R |
21.141075036972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220d1 115520cx1 1520i1 |
Quadratic twists by: -4 8 -19 |