Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450w |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
1.2763158210537E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -7 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40148367,96404722541] |
[a1,a2,a3,a4,a6] |
Generators |
[3163:30859:1] |
Generators of the group modulo torsion |
j |
7177599/128 |
j-invariant |
L |
2.6480357664974 |
L(r)(E,1)/r! |
Ω |
0.10436048931681 |
Real period |
R |
6.3434825379688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450ep1 54450en1 54450eo1 |
Quadratic twists by: -3 5 -11 |