Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472u |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.5296912073007E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145867899,-678096595082] |
[a1,a2,a3,a4,a6] |
Generators |
[7021066753062634:2110759721735259276:76278969521] |
Generators of the group modulo torsion |
j |
-229903410840151742620274/2364172887263121 |
j-invariant |
L |
7.0953817374128 |
L(r)(E,1)/r! |
Ω |
0.021720977170511 |
Real period |
R |
20.416271105444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944p2 10824e2 |
Quadratic twists by: -4 -3 |