Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404c |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-124848 = -1 · 24 · 33 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:4:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.5176905442329 |
L(r)(E,1)/r! |
Ω |
2.6233174904174 |
Real period |
R |
0.35055424822381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616bl1 10404c2 10404g1 |
Quadratic twists by: -4 -3 17 |