Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20124a |
Isogeny class |
Conductor |
20124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3137480837008128 = 28 · 310 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173775,-27751786] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:342:1] |
Generators of the group modulo torsion |
j |
3109697253250000/16811775747 |
j-invariant |
L |
4.0939175582477 |
L(r)(E,1)/r! |
Ω |
0.23390746865461 |
Real period |
R |
2.9170491945634 |
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 |
80496be2 6708a2 |
Quadratic twists by: -4 -3 |