Atkin-Lehner |
2+ 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834d |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1254265188 = 22 · 3 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-365,1929] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:75:1] [-5:63:1] |
Generators of the group modulo torsion |
j |
3048625/708 |
j-invariant |
L |
5.9553725017342 |
L(r)(E,1)/r! |
Ω |
1.4420526395461 |
Real period |
R |
2.06489428278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bw1 354a1 |
Quadratic twists by: -3 -11 |