Atkin-Lehner |
3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28413d |
Isogeny class |
Conductor |
28413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
2368195137 = 37 · 74 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,2112] |
[a1,a2,a3,a4,a6] |
j |
9759185353/3248553 |
j-invariant |
L |
1.3391798096428 |
L(r)(E,1)/r! |
Ω |
1.3391798096439 |
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 |
9471a1 |
Quadratic twists by: -3 |