Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890bf |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
548111646720 = 225 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7613,-251259] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:72:1] |
Generators of the group modulo torsion |
j |
14934427706187/167772160 |
j-invariant |
L |
5.8985424494451 |
L(r)(E,1)/r! |
Ω |
0.5114578963065 |
Real period |
R |
0.23065603217944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120da1 10890i1 54450m1 10890d1 |
Quadratic twists by: -4 -3 5 -11 |