Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120637440 |
Modular degree for the optimal curve |
Δ |
7.3515791292694E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3862547442,82677986837716] |
[a1,a2,a3,a4,a6] |
Generators |
[16319309007760271771342:4747421426047571756654129:985793807977712488] |
Generators of the group modulo torsion |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
3.9407502594134 |
L(r)(E,1)/r! |
Ω |
0.027559296811343 |
Real period |
R |
35.747920986425 |
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 |
18150cc1 10890bs1 54450fx1 |
Quadratic twists by: -3 5 -11 |