Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bn |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6661619712 = 214 · 33 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6385,-198481] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:3:1] |
Generators of the group modulo torsion |
j |
1757334737104/406593 |
j-invariant |
L |
5.6482151926729 |
L(r)(E,1)/r! |
Ω |
0.5340841518117 |
Real period |
R |
1.7625859052646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bv2 9768c2 |
Quadratic twists by: -4 8 |