Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890b |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
57876897870 = 2 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22710,1322910] |
[a1,a2,a3,a4,a6] |
j |
223810587/10 |
j-invariant |
L |
0.69834420354223 |
L(r)(E,1)/r! |
Ω |
1.0475163053133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87120cw1 10890bh2 54450ea1 10890be1 |
Quadratic twists by: -4 -3 5 -11 |