Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344m |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1105875083722752 = -1 · 219 · 316 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24703,-579807] |
[a1,a2,a3,a4,a6] |
Generators |
[423:9240:1] |
Generators of the group modulo torsion |
j |
6359387729183/4218578658 |
j-invariant |
L |
2.5458126674814 |
L(r)(E,1)/r! |
Ω |
0.27877450994205 |
Real period |
R |
4.5660786346833 |
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 |
1344g6 336d6 4032bl6 33600gi5 |
Quadratic twists by: -4 8 -3 5 |