Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200d |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
2047761000000 = 26 · 36 · 56 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23858,1424712] |
[a1,a2,a3,a4,a6] |
Generators |
[38:756:1] |
Generators of the group modulo torsion |
j |
1501910377408/2047761 |
j-invariant |
L |
4.2644028213961 |
L(r)(E,1)/r! |
Ω |
0.82570189946893 |
Real period |
R |
2.5822896487087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997316402 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127200dd1 5088f1 |
Quadratic twists by: -4 5 |