Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360cd |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
649993830400 = 214 · 52 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2332,19344] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:75:1] |
Generators of the group modulo torsion |
j |
85603083984/39672475 |
j-invariant |
L |
7.0442490003555 |
L(r)(E,1)/r! |
Ω |
0.81433293644683 |
Real period |
R |
4.3251652264709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360x2 25840r2 |
Quadratic twists by: -4 8 |