Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bp |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-2.1602436376182E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6941808,667305216] |
[a1,a2,a3,a4,a6] |
Generators |
[639:72918:1] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
4.765227473692 |
L(r)(E,1)/r! |
Ω |
0.073099528839206 |
Real period |
R |
4.0742631565176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150cp1 10890bo1 4950be1 |
Quadratic twists by: -3 5 -11 |