Atkin-Lehner |
2- 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562bb |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-30363176500227648 = -1 · 26 · 38 · 74 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15538,8346525] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:77233:27] [-1154:14631:8] |
Generators of the group modulo torsion |
j |
569125098462311/41650447874112 |
j-invariant |
L |
8.9782399289768 |
L(r)(E,1)/r! |
Ω |
0.28375693453495 |
Real period |
R |
0.43945279080389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854b2 |
Quadratic twists by: -3 |