Atkin-Lehner |
2+ 3+ 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
28470b |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-584241798594907440 = -1 · 24 · 313 · 5 · 137 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-483058,-134557532] |
[a1,a2,a3,a4,a6] |
j |
-12465880336757410873129/584241798594907440 |
j-invariant |
L |
1.2641863652043 |
L(r)(E,1)/r! |
Ω |
0.090299026085951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85410bg1 |
Quadratic twists by: -3 |