Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600k |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-12054380083200 = -1 · 211 · 37 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7768,-309428] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5824:1] |
Generators of the group modulo torsion |
j |
-1012598567810/235437111 |
j-invariant |
L |
4.9294479640463 |
L(r)(E,1)/r! |
Ω |
0.25116765559191 |
Real period |
R |
3.2710209391411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200br1 54600co1 |
Quadratic twists by: -4 5 |