Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910bh |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
1749882677040 = 24 · 36 · 5 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126482,-17281951] |
[a1,a2,a3,a4,a6] |
Generators |
[-149463:82187:729] |
Generators of the group modulo torsion |
j |
306958127960962009/2400387760 |
j-invariant |
L |
10.992210887525 |
L(r)(E,1)/r! |
Ω |
0.25315869345946 |
Real period |
R |
5.4275298311315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7990a1 |
Quadratic twists by: -3 |