Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800c |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-5612792968750000 = -1 · 24 · 516 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6883,3613512] |
[a1,a2,a3,a4,a6] |
j |
-144271353856/22451171875 |
j-invariant |
L |
5.598321864897 |
L(r)(E,1)/r! |
Ω |
0.34989511654752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600n1 8360q1 |
Quadratic twists by: -4 5 |