Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23392b |
Isogeny class |
Conductor |
23392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6362624 = 29 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464,-4004] |
[a1,a2,a3,a4,a6] |
Generators |
[51:328:1] [55:374:1] |
Generators of the group modulo torsion |
j |
21624363656/12427 |
j-invariant |
L |
4.5421264981281 |
L(r)(E,1)/r! |
Ω |
1.0285065679763 |
Real period |
R |
8.8324696011666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23392d2 46784r2 |
Quadratic twists by: -4 8 |