Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3784d |
Isogeny class |
Conductor |
3784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-10073008 = -1 · 24 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26,161] |
[a1,a2,a3,a4,a6] |
j |
-121485312/629563 |
j-invariant |
L |
0.99242167970072 |
L(r)(E,1)/r! |
Ω |
1.9848433594014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7568a1 30272d1 34056s1 94600r1 |
Quadratic twists by: -4 8 -3 5 |