Atkin-Lehner |
2- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030r |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
22893200 = 24 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-261,1585] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:61:1] |
Generators of the group modulo torsion |
j |
1477648619/17200 |
j-invariant |
L |
5.4370311634557 |
L(r)(E,1)/r! |
Ω |
2.1475406905432 |
Real period |
R |
0.63293692028007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52030a1 |
Quadratic twists by: -11 |