Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bz |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.6778727586648E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12727221,-23365354246] |
[a1,a2,a3,a4,a6] |
Generators |
[2263:130482:1] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
4.0636597536114 |
L(r)(E,1)/r! |
Ω |
0.050322709088657 |
Real period |
R |
6.7293339117404 |
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 |
3042m2 97344ft2 8112u2 24336bw2 |
Quadratic twists by: -4 8 -3 13 |