Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bu |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
413479687500000 = 25 · 37 · 511 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -7 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176292,28517616] |
[a1,a2,a3,a4,a6] |
Generators |
[129:2748:1] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
3.7174552808442 |
L(r)(E,1)/r! |
Ω |
0.52647854621336 |
Real period |
R |
0.44131134443735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cr1 10890cc1 54450fo1 |
Quadratic twists by: -3 5 -11 |