Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890c |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-15306287040 = -1 · 26 · 33 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-930,-12204] |
[a1,a2,a3,a4,a6] |
j |
-1860867/320 |
j-invariant |
L |
0.85643956643294 |
L(r)(E,1)/r! |
Ω |
0.42821978321647 |
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 |
87120cy1 10890bi3 54450ee1 90b1 |
Quadratic twists by: -4 -3 5 -11 |