Atkin-Lehner |
2+ 3- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29946h |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
957600 |
Modular degree for the optimal curve |
Δ |
-2190195818496 = -1 · 219 · 33 · 7 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13200265,18458490572] |
[a1,a2,a3,a4,a6] |
Generators |
[2104:-541:1] |
Generators of the group modulo torsion |
j |
-254373352954772615078932873/2190195818496 |
j-invariant |
L |
3.7380537010265 |
L(r)(E,1)/r! |
Ω |
0.40825273521871 |
Real period |
R |
1.5260374185548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838t1 |
Quadratic twists by: -3 |