Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600bc |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
242000000000 = 210 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2000,25000] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:209:1] |
Generators of the group modulo torsion |
j |
442368/121 |
j-invariant |
L |
5.585506839729 |
L(r)(E,1)/r! |
Ω |
0.92203593737398 |
Real period |
R |
3.0288986650764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600cr1 1100d1 17600bd1 |
Quadratic twists by: -4 8 5 |