Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890q |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
272758035052800 = 28 · 37 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24525,-1240475] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:395:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
3.7951464844713 |
L(r)(E,1)/r! |
Ω |
0.38583807674662 |
Real period |
R |
1.2295139830651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120ev1 3630s1 54450gg1 990j1 |
Quadratic twists by: -4 -3 5 -11 |