Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2020b |
Isogeny class |
Conductor |
2020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
1010000 = 24 · 54 · 101 |
Discriminant |
Eigenvalues |
2- -2 5- -2 2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
112377856/63125 |
j-invariant |
L |
2.2275747497003 |
L(r)(E,1)/r! |
Ω |
2.3957059375851 |
Real period |
R |
0.30993992414412 |
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 |
8080i1 32320g1 18180b1 10100b1 |
Quadratic twists by: -4 8 -3 5 |