Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20240v |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
371520 |
Modular degree for the optimal curve |
Δ |
-389398751500000000 = -1 · 28 · 59 · 112 · 235 |
Discriminant |
Eigenvalues |
2- -2 5- -5 11+ 0 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-725405,239449975] |
[a1,a2,a3,a4,a6] |
Generators |
[-15022695:1528942250:79507] [-485:21850:1] |
Generators of the group modulo torsion |
j |
-164902021520455131136/1521088873046875 |
j-invariant |
L |
5.1447911461798 |
L(r)(E,1)/r! |
Ω |
0.3018647195565 |
Real period |
R |
0.094685371236272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060e1 80960bt1 101200x1 |
Quadratic twists by: -4 8 5 |