Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400z |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
612000000 = 28 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1308,-18612] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:6:1] [42:48:1] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
7.7636512561541 |
L(r)(E,1)/r! |
Ω |
0.79393407608296 |
Real period |
R |
4.8893551051851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200c1 81600fx1 61200cc1 816b1 |
Quadratic twists by: -4 8 -3 5 |