Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455w |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
66136365272783025 = 310 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-404042,-97974016] |
[a1,a2,a3,a4,a6] |
Generators |
[-1167240:2449168:3375] |
Generators of the group modulo torsion |
j |
4243659659/38475 |
j-invariant |
L |
4.1284133743204 |
L(r)(E,1)/r! |
Ω |
0.1894657133221 |
Real period |
R |
10.894882522367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34485k1 103455x1 |
Quadratic twists by: -3 -11 |