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 |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-4.5457106544777E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1509339,1249657994] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:33462:1] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
4.0636597536114 |
L(r)(E,1)/r! |
Ω |
0.15096812726597 |
Real period |
R |
2.2431113039135 |
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 |
3042m1 97344ft1 8112u1 24336bw1 |
Quadratic twists by: -4 8 -3 13 |