Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610g |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
345371040000 = 28 · 38 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1755,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:171:1] |
Generators of the group modulo torsion |
j |
820288712881/473760000 |
j-invariant |
L |
3.7488357464924 |
L(r)(E,1)/r! |
Ω |
0.815079860784 |
Real period |
R |
2.2996738889404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870t1 |
Quadratic twists by: -3 |