Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1104c |
Isogeny class |
Conductor |
1104 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
9936 = 24 · 33 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207,1080] |
[a1,a2,a3,a4,a6] |
j |
61604313088/621 |
j-invariant |
L |
2.7652248010383 |
L(r)(E,1)/r! |
Ω |
3.6869664013844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552d1 4416q1 3312g1 27600l1 |
Quadratic twists by: -4 8 -3 5 |