Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890x |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
46880287274700000 = 25 · 37 · 55 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- -7 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-853254,-302972972] |
[a1,a2,a3,a4,a6] |
j |
439632699649/300000 |
j-invariant |
L |
1.5708970955078 |
L(r)(E,1)/r! |
Ω |
0.15708970955078 |
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 |
87120fx1 3630o1 54450fo1 10890cc1 |
Quadratic twists by: -4 -3 5 -11 |