Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850a |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1196250000 = 24 · 3 · 57 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2525,-49875] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:18:1] |
Generators of the group modulo torsion |
j |
114013572049/76560 |
j-invariant |
L |
3.0937897456082 |
L(r)(E,1)/r! |
Ω |
0.6734871609793 |
Real period |
R |
2.2968438931572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570x1 |
Quadratic twists by: 5 |