Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890i |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
399573390458880 = 225 · 39 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68514,6852500] |
[a1,a2,a3,a4,a6] |
Generators |
[139:-56:1] |
Generators of the group modulo torsion |
j |
14934427706187/167772160 |
j-invariant |
L |
3.2042155952117 |
L(r)(E,1)/r! |
Ω |
0.53520817381832 |
Real period |
R |
2.9934292411418 |
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 |
87120dn1 10890bf1 54450ef1 10890bj1 |
Quadratic twists by: -4 -3 5 -11 |