Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bt |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5336644500000000 = -1 · 28 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-136692,-19732784] |
[a1,a2,a3,a4,a6] |
Generators |
[4207224:29672588:9261] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
4.7608819172469 |
L(r)(E,1)/r! |
Ω |
0.12400725614745 |
Real period |
R |
9.5979906038806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bb1 10890bq1 54450fm1 |
Quadratic twists by: -3 5 -11 |