Atkin-Lehner |
2- 3+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470k |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
44779438080 = 220 · 32 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1231,12629] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:114:1] |
Generators of the group modulo torsion |
j |
206309829721969/44779438080 |
j-invariant |
L |
6.3083149809277 |
L(r)(E,1)/r! |
Ω |
1.0740212222254 |
Real period |
R |
0.58735477943879 |
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 |
85410l1 |
Quadratic twists by: -3 |