Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5936h |
Isogeny class |
Conductor |
5936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-356928962166784 = -1 · 237 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -3 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11629,-770222] |
[a1,a2,a3,a4,a6] |
j |
42461064302103/87140859904 |
j-invariant |
L |
2.2418804097928 |
L(r)(E,1)/r! |
Ω |
0.2802350512241 |
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 |
742c1 23744y1 53424bh1 41552ba1 |
Quadratic twists by: -4 8 -3 -7 |