Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562bk |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
719497525824 = 26 · 38 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2336,15491] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:249:1] |
Generators of the group modulo torsion |
j |
1933038007993/986965056 |
j-invariant |
L |
7.7598223944416 |
L(r)(E,1)/r! |
Ω |
0.79659835166772 |
Real period |
R |
0.81176651301081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854i2 |
Quadratic twists by: -3 |