Atkin-Lehner |
2- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
91504c |
Isogeny class |
Conductor |
91504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-19138244608 = -1 · 212 · 7 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,613,-3190] |
[a1,a2,a3,a4,a6] |
Generators |
[7:38:1] |
Generators of the group modulo torsion |
j |
6219352719/4672423 |
j-invariant |
L |
3.1395427193963 |
L(r)(E,1)/r! |
Ω |
0.682941524594 |
Real period |
R |
1.1492721521727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5719a1 |
Quadratic twists by: -4 |