Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698i |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-34455317694464 = -1 · 211 · 177 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 -2 -3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13589,670817] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2215:1] |
Generators of the group modulo torsion |
j |
-11497268593/1427456 |
j-invariant |
L |
10.291445481386 |
L(r)(E,1)/r! |
Ω |
0.63458768174625 |
Real period |
R |
0.7371605057624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394h1 |
Quadratic twists by: 17 |