Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368p |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7.9656023803296E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1537224,594270576] |
[a1,a2,a3,a4,a6] |
Generators |
[-1365:12294:1] |
Generators of the group modulo torsion |
j |
110725946217794/21954955473 |
j-invariant |
L |
6.7656375552231 |
L(r)(E,1)/r! |
Ω |
0.18279372401129 |
Real period |
R |
6.1687361822758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736k2 4488h2 |
Quadratic twists by: -4 -11 |