Atkin-Lehner |
2+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150a |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
33889062500 = 22 · 58 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-917,-5759] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:73:1] |
Generators of the group modulo torsion |
j |
5461074081/2168900 |
j-invariant |
L |
3.8204547646078 |
L(r)(E,1)/r! |
Ω |
0.89771234819112 |
Real period |
R |
1.0639417994741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430i1 |
Quadratic twists by: 5 |