Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
546d |
Isogeny class |
Conductor |
546 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
-14329224 = -1 · 23 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13,182] |
[a1,a2,a3,a4,a6] |
j |
270840023/14329224 |
j-invariant |
L |
1.6909566491933 |
L(r)(E,1)/r! |
Ω |
1.6909566491933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4368p1 17472i1 1638t1 13650br1 |
Quadratic twists by: -4 8 -3 5 |