Atkin-Lehner |
2- 3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468h |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7092628988016 = -1 · 24 · 3 · 113 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1242,-129651] |
[a1,a2,a3,a4,a6] |
Generators |
[778:6591:8] |
Generators of the group modulo torsion |
j |
-13253120405248/443289311751 |
j-invariant |
L |
4.7377959010291 |
L(r)(E,1)/r! |
Ω |
0.32488801664593 |
Real period |
R |
2.4304763786718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118404n2 |
Quadratic twists by: -3 |