Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bg |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1589441616 = 24 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-9585] |
[a1,a2,a3,a4,a6] |
Generators |
[1158067:3717350:29791] |
Generators of the group modulo torsion |
j |
226492416/5047 |
j-invariant |
L |
8.7439801187508 |
L(r)(E,1)/r! |
Ω |
0.88177978543433 |
Real period |
R |
9.916285526902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956a1 103824bh1 |
Quadratic twists by: -4 -3 |