Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990j |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
153964800 = 28 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,987] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
3.0722751578185 |
L(r)(E,1)/r! |
Ω |
1.7426021642216 |
Real period |
R |
0.4407596898617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7920be1 31680by1 330e1 4950l1 |
Quadratic twists by: -4 8 -3 5 |