Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536q |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
52219728 = 24 · 36 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111,252] |
[a1,a2,a3,a4,a6] |
j |
9538484224/3263733 |
j-invariant |
L |
5.5101479508366 |
L(r)(E,1)/r! |
Ω |
1.8367159836122 |
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 |
9768c1 78144bv1 58608j1 |
Quadratic twists by: -4 8 -3 |