Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224z |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2505372574464 = -1 · 28 · 33 · 233 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 -6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1949,83697] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:322:1] |
Generators of the group modulo torsion |
j |
-3199941763072/9786611619 |
j-invariant |
L |
6.4149426903279 |
L(r)(E,1)/r! |
Ω |
0.71513561088386 |
Real period |
R |
1.495041078619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8556d2 102672bm2 |
Quadratic twists by: -4 -3 |