Atkin-Lehner |
2- 3+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19716a |
Isogeny class |
Conductor |
19716 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8928 |
Modular degree for the optimal curve |
Δ |
-1015689456 = -1 · 24 · 36 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -2 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242,-2031] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] [22:53:1] |
Generators of the group modulo torsion |
j |
-98365589248/63480591 |
j-invariant |
L |
5.3040645060088 |
L(r)(E,1)/r! |
Ω |
0.58793723748966 |
Real period |
R |
0.75179006757251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864s1 59148i1 |
Quadratic twists by: -4 -3 |