Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bm |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-29484000000 = -1 · 28 · 34 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,567,6237] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
5.0564900505463 |
L(r)(E,1)/r! |
Ω |
0.798778332839 |
Real period |
R |
1.5825698578015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200by1 2184g1 |
Quadratic twists by: -4 5 |