Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400de |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-495720000000000 = -1 · 212 · 36 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,1100000] |
[a1,a2,a3,a4,a6] |
Generators |
[7608:124784:27] |
Generators of the group modulo torsion |
j |
-1600/17 |
j-invariant |
L |
6.5479938331761 |
L(r)(E,1)/r! |
Ω |
0.44595308171704 |
Real period |
R |
7.3415725762885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400x1 13600d1 122400bx1 |
Quadratic twists by: -4 -3 5 |