Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890v |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1380837552454800 = 24 · 311 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1517544,-719166992] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
1.0881889169431 |
L(r)(E,1)/r! |
Ω |
0.13602361461788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120fl1 3630n1 54450fg1 990k1 |
Quadratic twists by: -4 -3 5 -11 |