Atkin-Lehner |
2+ 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950d |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
282863750000000 = 27 · 510 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -1 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18525,528125] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:47507:64] |
Generators of the group modulo torsion |
j |
45000254125009/18103280000 |
j-invariant |
L |
7.7112074374688 |
L(r)(E,1)/r! |
Ω |
0.49803813584243 |
Real period |
R |
7.7415833065731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390g1 |
Quadratic twists by: 5 |