Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21240a |
Isogeny class |
Conductor |
21240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-203904000 = -1 · 210 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,-594] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
3217428/7375 |
j-invariant |
L |
6.2890274128804 |
L(r)(E,1)/r! |
Ω |
0.92377834159425 |
Real period |
R |
0.56732832341097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480b1 21240g1 106200y1 |
Quadratic twists by: -4 -3 5 |