Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890f |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-73709188322716800 = -1 · 27 · 39 · 52 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-221685,42300341] |
[a1,a2,a3,a4,a6] |
j |
-1516910949/92800 |
j-invariant |
L |
2.7204915523146 |
L(r)(E,1)/r! |
Ω |
0.34006147467546 |
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 |
127890ec1 127890s1 |
Quadratic twists by: -3 -7 |