Atkin-Lehner |
2+ 3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19866d |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
5887328832 = 26 · 34 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-667,-5795] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] |
Generators of the group modulo torsion |
j |
32894113444921/5887328832 |
j-invariant |
L |
1.938716074749 |
L(r)(E,1)/r! |
Ω |
0.95079948857627 |
Real period |
R |
0.50975944403694 |
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 |
59598bj1 |
Quadratic twists by: -3 |