Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hm |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-126000000000 = -1 · 210 · 32 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,15963] |
[a1,a2,a3,a4,a6] |
Generators |
[3358:194625:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
7.669921692951 |
L(r)(E,1)/r! |
Ω |
0.74309756733114 |
Real period |
R |
5.1607770164677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600br1 8400bx1 100800pw1 33600fp1 |
Quadratic twists by: -4 8 -3 5 |