Atkin-Lehner |
2+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20150f |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1007500 = -1 · 22 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -5 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] [-2:7:1] |
Generators of the group modulo torsion |
j |
-25/1612 |
j-invariant |
L |
3.6930309228103 |
L(r)(E,1)/r! |
Ω |
2.2132155820607 |
Real period |
R |
0.27810447332414 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20150p1 |
Quadratic twists by: 5 |