Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6132d |
Isogeny class |
Conductor |
6132 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1557626112 = -1 · 28 · 35 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 6 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,244,1128] |
[a1,a2,a3,a4,a6] |
j |
6249886256/6084477 |
j-invariant |
L |
2.9677296548456 |
L(r)(E,1)/r! |
Ω |
0.98924321828185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24528q1 98112bc1 18396j1 42924f1 |
Quadratic twists by: -4 8 -3 -7 |