Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
47200a |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-11800000000 = -1 · 29 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -3 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20675,1144250] |
[a1,a2,a3,a4,a6] |
Generators |
[70:200:1] |
Generators of the group modulo torsion |
j |
-122171605128/1475 |
j-invariant |
L |
4.5661757392281 |
L(r)(E,1)/r! |
Ω |
1.1553116945912 |
Real period |
R |
1.9761661552435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47200g1 94400cl1 9440e1 |
Quadratic twists by: -4 8 5 |