Atkin-Lehner |
2- 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450bt |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3477216093750000 = 24 · 36 · 510 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105013,12743531] |
[a1,a2,a3,a4,a6] |
j |
13114541865625/356066928 |
j-invariant |
L |
3.5492901663274 |
L(r)(E,1)/r! |
Ω |
0.44366125776386 |
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 |
93450bm1 |
Quadratic twists by: 5 |