Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448m |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4040485929216 = 28 · 310 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,120350] |
[a1,a2,a3,a4,a6] |
Generators |
[-3530:62678:125] |
Generators of the group modulo torsion |
j |
95348396752/21650409 |
j-invariant |
L |
9.6628471101009 |
L(r)(E,1)/r! |
Ω |
0.7364204504467 |
Real period |
R |
6.5606862923449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37224m2 24816b2 |
Quadratic twists by: -4 -3 |