Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825h |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1282121140625 = 56 · 136 · 17 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2905,26472] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:225:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
4.2858298089723 |
L(r)(E,1)/r! |
Ω |
0.7675665064802 |
Real period |
R |
2.7918296145855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873a1 425a1 |
Quadratic twists by: 5 13 |