Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10535d |
Isogeny class |
Conductor |
10535 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-79275875 = -1 · 53 · 73 · 432 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 5 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3355,75928] |
[a1,a2,a3,a4,a6] |
Generators |
[44:107:1] |
Generators of the group modulo torsion |
j |
-12179700416512/231125 |
j-invariant |
L |
3.176098826831 |
L(r)(E,1)/r! |
Ω |
1.7750854988816 |
Real period |
R |
0.14910543880995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815l1 52675e1 10535a1 |
Quadratic twists by: -3 5 -7 |