Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450fe |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-268584979177968750 = -1 · 2 · 36 · 57 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,131020,-17018603] |
[a1,a2,a3,a4,a6] |
Generators |
[1224682798:2828969885:10360232] |
Generators of the group modulo torsion |
j |
9261/10 |
j-invariant |
L |
7.7696960419681 |
L(r)(E,1)/r! |
Ω |
0.16756129238775 |
Real period |
R |
11.592319340703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050d1 10890u1 54450bl1 |
Quadratic twists by: -3 5 -11 |