Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
19936h |
Isogeny class |
Conductor |
19936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-875270144 = -1 · 212 · 74 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 4 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-1423] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] |
Generators of the group modulo torsion |
j |
-64/213689 |
j-invariant |
L |
3.523120181519 |
L(r)(E,1)/r! |
Ω |
0.72333729093818 |
Real period |
R |
1.2176616032575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19936d1 39872f1 |
Quadratic twists by: -4 8 |