Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168c |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
44586647248 = 24 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -1 2 2 11- 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-887,838] |
[a1,a2,a3,a4,a6] |
j |
22528/13 |
j-invariant |
L |
2.9033727006741 |
L(r)(E,1)/r! |
Ω |
0.9677909002247 |
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 |
12584i1 100672dp1 25168i1 |
Quadratic twists by: -4 8 -11 |