Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2184c |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-782459897856 = -1 · 211 · 3 · 73 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10312,-401876] |
[a1,a2,a3,a4,a6] |
j |
-59219479733906/382060497 |
j-invariant |
L |
0.71036923859912 |
L(r)(E,1)/r! |
Ω |
0.23678974619971 |
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 |
4368g1 17472bm1 6552x1 54600cg1 |
Quadratic twists by: -4 8 -3 5 |