Atkin-Lehner |
2+ 5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650k |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-219032450 = -1 · 2 · 52 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,109,568] |
[a1,a2,a3,a4,a6] |
Generators |
[16:72:1] |
Generators of the group modulo torsion |
j |
5804678255/8761298 |
j-invariant |
L |
6.2310410825012 |
L(r)(E,1)/r! |
Ω |
1.204157188319 |
Real period |
R |
0.64682596149292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650be1 |
Quadratic twists by: 5 |