Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536l |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
702065232 = 24 · 34 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1039,-13180] |
[a1,a2,a3,a4,a6] |
Generators |
[44:168:1] |
Generators of the group modulo torsion |
j |
7760117512192/43879077 |
j-invariant |
L |
5.5816997453727 |
L(r)(E,1)/r! |
Ω |
0.84112145756821 |
Real period |
R |
3.318010553143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768g1 78144cc1 58608m1 |
Quadratic twists by: -4 8 -3 |