Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536l |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-12025329614848 = -1 · 223 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 -4 4 11+ 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4693,-111910] |
[a1,a2,a3,a4,a6] |
j |
21414159/22528 |
j-invariant |
L |
1.5470332104313 |
L(r)(E,1)/r! |
Ω |
0.38675829893659 |
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 |
7942q1 63536s1 |
Quadratic twists by: -4 -19 |