Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450h |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
90432652921875000 = 23 · 33 · 59 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118542,6149116] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:533:1] [-2418:31459:8] |
Generators of the group modulo torsion |
j |
2037123/1000 |
j-invariant |
L |
7.4958744720972 |
L(r)(E,1)/r! |
Ω |
0.30124591345569 |
Real period |
R |
1.0367878502362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450ea2 10890bh1 54450ec1 |
Quadratic twists by: -3 5 -11 |