Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400dj |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
125479125000000 = 26 · 310 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636825,195603500] |
[a1,a2,a3,a4,a6] |
Generators |
[3410:10125:8] |
Generators of the group modulo torsion |
j |
39179284145344/172125 |
j-invariant |
L |
5.1591882320804 |
L(r)(E,1)/r! |
Ω |
0.51759710320863 |
Real period |
R |
1.2459469534425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999248968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400y1 40800m1 24480l1 |
Quadratic twists by: -4 -3 5 |